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Finding the Fourth Proportional to 31,098.39, 42,916.20 and 16,951.20

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Solution

The fourth proportional to 31,098.39, 42,916.20 and 16,951.20 is: 23,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.39 : 42,916.20 = 16,951.20 : x
  2. Step 2: Convert to fraction form
    31,098.39/42,916.20 = 16,951.20/x
  3. Step 3: Cross multiply
    31,098.39x = 42,916.20 × 16,951.20
  4. Step 4: Simplify right side
    31,098.39x = 727,481,089.44
  5. Step 5: Solve for x
    x = 727,481,089.44/31,098.39
  6. Step 6: Final answer
    x = 23,392.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.