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Finding the Fourth Proportional to 8,009, 12,013.66 and 2,166.12

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Solution

The fourth proportional to 8,009, 12,013.66 and 2,166.12 is: 3,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009 : 12,013.66 = 2,166.12 : x
  2. Step 2: Convert to fraction form
    8,009/12,013.66 = 2,166.12/x
  3. Step 3: Cross multiply
    8,009x = 12,013.66 × 2,166.12
  4. Step 4: Simplify right side
    8,009x = 26,023,029.20
  5. Step 5: Solve for x
    x = 26,023,029.20/8,009
  6. Step 6: Final answer
    x = 3,249.22

Related Problems

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Half scale
Find fourth proportional to 16,018, 24,027.32 and 4,332.24
Double scale
Find fourth proportional to 8,010, 12,015.16 and 2,167.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.