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Finding the Fourth Proportional to 31,472.80, 47,208.74 and 12,752.68

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Solution

The fourth proportional to 31,472.80, 47,208.74 and 12,752.68 is: 19,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.80 : 47,208.74 = 12,752.68 : x
  2. Step 2: Convert to fraction form
    31,472.80/47,208.74 = 12,752.68/x
  3. Step 3: Cross multiply
    31,472.80x = 47,208.74 × 12,752.68
  4. Step 4: Simplify right side
    31,472.80x = 602,037,954.42
  5. Step 5: Solve for x
    x = 602,037,954.42/31,472.80
  6. Step 6: Final answer
    x = 19,128.83

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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.