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Finding the Fourth Proportional to 31,476.70, 47,204.17 and 13,958.78

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Solution

The fourth proportional to 31,476.70, 47,204.17 and 13,958.78 is: 20,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476.70 : 47,204.17 = 13,958.78 : x
  2. Step 2: Convert to fraction form
    31,476.70/47,204.17 = 13,958.78/x
  3. Step 3: Cross multiply
    31,476.70x = 47,204.17 × 13,958.78
  4. Step 4: Simplify right side
    31,476.70x = 658,912,624.11
  5. Step 5: Solve for x
    x = 658,912,624.11/31,476.70
  6. Step 6: Final answer
    x = 20,933.35

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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.