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Finding the Fourth Proportional to 8,005.50, 12,008.25 and 2,162.11

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Solution

The fourth proportional to 8,005.50, 12,008.25 and 2,162.11 is: 3,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.50 : 12,008.25 = 2,162.11 : x
  2. Step 2: Convert to fraction form
    8,005.50/12,008.25 = 2,162.11/x
  3. Step 3: Cross multiply
    8,005.50x = 12,008.25 × 2,162.11
  4. Step 4: Simplify right side
    8,005.50x = 25,963,149.90
  5. Step 5: Solve for x
    x = 25,963,149.90/8,005.50
  6. Step 6: Final answer
    x = 3,243.16

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Half scale
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Double scale
Find fourth proportional to 8,006.50, 12,009.75 and 2,163.11
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.