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Finding the Fourth Proportional to 31,920.40, 47,902.20 and 14,381.20

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Solution

The fourth proportional to 31,920.40, 47,902.20 and 14,381.20 is: 21,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.40 : 47,902.20 = 14,381.20 : x
  2. Step 2: Convert to fraction form
    31,920.40/47,902.20 = 14,381.20/x
  3. Step 3: Cross multiply
    31,920.40x = 47,902.20 × 14,381.20
  4. Step 4: Simplify right side
    31,920.40x = 688,891,118.64
  5. Step 5: Solve for x
    x = 688,891,118.64/31,920.40
  6. Step 6: Final answer
    x = 21,581.53

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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.