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Finding the Fourth Proportional to 15,842.20, 23,754.45 and 6,488.74

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Solution

The fourth proportional to 15,842.20, 23,754.45 and 6,488.74 is: 9,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.20 : 23,754.45 = 6,488.74 : x
  2. Step 2: Convert to fraction form
    15,842.20/23,754.45 = 6,488.74/x
  3. Step 3: Cross multiply
    15,842.20x = 23,754.45 × 6,488.74
  4. Step 4: Simplify right side
    15,842.20x = 154,136,449.89
  5. Step 5: Solve for x
    x = 154,136,449.89/15,842.20
  6. Step 6: Final answer
    x = 9,729.49

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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.