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Finding the Fourth Proportional to 34,488, 51,732 and 9,865.92

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Solution

The fourth proportional to 34,488, 51,732 and 9,865.92 is: 14,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,488 : 51,732 = 9,865.92 : x
  2. Step 2: Convert to fraction form
    34,488/51,732 = 9,865.92/x
  3. Step 3: Cross multiply
    34,488x = 51,732 × 9,865.92
  4. Step 4: Simplify right side
    34,488x = 510,383,773.44
  5. Step 5: Solve for x
    x = 510,383,773.44/34,488
  6. Step 6: Final answer
    x = 14,798.88

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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.