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Finding the Fourth Proportional to 11,542.68, 15,916.38 and 7,345.56

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Solution

The fourth proportional to 11,542.68, 15,916.38 and 7,345.56 is: 10,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.68 : 15,916.38 = 7,345.56 : x
  2. Step 2: Convert to fraction form
    11,542.68/15,916.38 = 7,345.56/x
  3. Step 3: Cross multiply
    11,542.68x = 15,916.38 × 7,345.56
  4. Step 4: Simplify right side
    11,542.68x = 116,914,724.27
  5. Step 5: Solve for x
    x = 116,914,724.27/11,542.68
  6. Step 6: Final answer
    x = 10,128.91

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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.