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Finding the Fourth Proportional to 7,684.59, 11,531.13 and 7,126.90

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Solution

The fourth proportional to 7,684.59, 11,531.13 and 7,126.90 is: 10,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.59 : 11,531.13 = 7,126.90 : x
  2. Step 2: Convert to fraction form
    7,684.59/11,531.13 = 7,126.90/x
  3. Step 3: Cross multiply
    7,684.59x = 11,531.13 × 7,126.90
  4. Step 4: Simplify right side
    7,684.59x = 82,181,210.40
  5. Step 5: Solve for x
    x = 82,181,210.40/7,684.59
  6. Step 6: Final answer
    x = 10,694.29

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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.