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Finding the Fourth Proportional to 10,542.54, 15,808.92 and 7,257.18

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Solution

The fourth proportional to 10,542.54, 15,808.92 and 7,257.18 is: 10,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.54 : 15,808.92 = 7,257.18 : x
  2. Step 2: Convert to fraction form
    10,542.54/15,808.92 = 7,257.18/x
  3. Step 3: Cross multiply
    10,542.54x = 15,808.92 × 7,257.18
  4. Step 4: Simplify right side
    10,542.54x = 114,728,178.05
  5. Step 5: Solve for x
    x = 114,728,178.05/10,542.54
  6. Step 6: Final answer
    x = 10,882.40

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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.