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Finding the Fourth Proportional to 31,488.92, 47,200.98 and 13,967

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Solution

The fourth proportional to 31,488.92, 47,200.98 and 13,967 is: 20,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488.92 : 47,200.98 = 13,967 : x
  2. Step 2: Convert to fraction form
    31,488.92/47,200.98 = 13,967/x
  3. Step 3: Cross multiply
    31,488.92x = 47,200.98 × 13,967
  4. Step 4: Simplify right side
    31,488.92x = 659,256,087.66
  5. Step 5: Solve for x
    x = 659,256,087.66/31,488.92
  6. Step 6: Final answer
    x = 20,936.13

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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.