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Finding the Fourth Proportional to 31,909.40, 47,863.20 and 9,721.80

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Solution

The fourth proportional to 31,909.40, 47,863.20 and 9,721.80 is: 14,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.40 : 47,863.20 = 9,721.80 : x
  2. Step 2: Convert to fraction form
    31,909.40/47,863.20 = 9,721.80/x
  3. Step 3: Cross multiply
    31,909.40x = 47,863.20 × 9,721.80
  4. Step 4: Simplify right side
    31,909.40x = 465,316,457.76
  5. Step 5: Solve for x
    x = 465,316,457.76/31,909.40
  6. Step 6: Final answer
    x = 14,582.43

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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.