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Finding the Fourth Proportional to 31,531.80, 47,232.90 and 15,958.20

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Solution

The fourth proportional to 31,531.80, 47,232.90 and 15,958.20 is: 23,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.80 : 47,232.90 = 15,958.20 : x
  2. Step 2: Convert to fraction form
    31,531.80/47,232.90 = 15,958.20/x
  3. Step 3: Cross multiply
    31,531.80x = 47,232.90 × 15,958.20
  4. Step 4: Simplify right side
    31,531.80x = 753,752,064.78
  5. Step 5: Solve for x
    x = 753,752,064.78/31,531.80
  6. Step 6: Final answer
    x = 23,904.50

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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.