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Finding the Fourth Proportional to 31,903.29, 47,853 and 14,128.76

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Solution

The fourth proportional to 31,903.29, 47,853 and 14,128.76 is: 21,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.29 : 47,853 = 14,128.76 : x
  2. Step 2: Convert to fraction form
    31,903.29/47,853 = 14,128.76/x
  3. Step 3: Cross multiply
    31,903.29x = 47,853 × 14,128.76
  4. Step 4: Simplify right side
    31,903.29x = 676,103,671.91
  5. Step 5: Solve for x
    x = 676,103,671.91/31,903.29
  6. Step 6: Final answer
    x = 21,192.29

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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.