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Finding the Fourth Proportional to 7,242.32, 10,859.80 and 3,539

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Solution

The fourth proportional to 7,242.32, 10,859.80 and 3,539 is: 5,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.32 : 10,859.80 = 3,539 : x
  2. Step 2: Convert to fraction form
    7,242.32/10,859.80 = 3,539/x
  3. Step 3: Cross multiply
    7,242.32x = 10,859.80 × 3,539
  4. Step 4: Simplify right side
    7,242.32x = 38,432,832.20
  5. Step 5: Solve for x
    x = 38,432,832.20/7,242.32
  6. Step 6: Final answer
    x = 5,306.70

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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.