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Finding the Fourth Proportional to 8,642.28, 11,916.54 and 7,513.32

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Solution

The fourth proportional to 8,642.28, 11,916.54 and 7,513.32 is: 10,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.28 : 11,916.54 = 7,513.32 : x
  2. Step 2: Convert to fraction form
    8,642.28/11,916.54 = 7,513.32/x
  3. Step 3: Cross multiply
    8,642.28x = 11,916.54 × 7,513.32
  4. Step 4: Simplify right side
    8,642.28x = 89,532,778.31
  5. Step 5: Solve for x
    x = 89,532,778.31/8,642.28
  6. Step 6: Final answer
    x = 10,359.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.