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Finding the Fourth Proportional to 8,009.40, 12,014.64 and 5,083.68

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Solution

The fourth proportional to 8,009.40, 12,014.64 and 5,083.68 is: 7,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.40 : 12,014.64 = 5,083.68 : x
  2. Step 2: Convert to fraction form
    8,009.40/12,014.64 = 5,083.68/x
  3. Step 3: Cross multiply
    8,009.40x = 12,014.64 × 5,083.68
  4. Step 4: Simplify right side
    8,009.40x = 61,078,585.08
  5. Step 5: Solve for x
    x = 61,078,585.08/8,009.40
  6. Step 6: Final answer
    x = 7,625.86

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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.