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Finding the Fourth Proportional to 31,630.80, 47,460.96 and 14,098.80

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Solution

The fourth proportional to 31,630.80, 47,460.96 and 14,098.80 is: 21,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630.80 : 47,460.96 = 14,098.80 : x
  2. Step 2: Convert to fraction form
    31,630.80/47,460.96 = 14,098.80/x
  3. Step 3: Cross multiply
    31,630.80x = 47,460.96 × 14,098.80
  4. Step 4: Simplify right side
    31,630.80x = 669,142,582.85
  5. Step 5: Solve for x
    x = 669,142,582.85/31,630.80
  6. Step 6: Final answer
    x = 21,154.78

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1.5x scale

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.