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Finding the Fourth Proportional to 31,410.70, 47,123.34 and 10,350

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Solution

The fourth proportional to 31,410.70, 47,123.34 and 10,350 is: 15,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410.70 : 47,123.34 = 10,350 : x
  2. Step 2: Convert to fraction form
    31,410.70/47,123.34 = 10,350/x
  3. Step 3: Cross multiply
    31,410.70x = 47,123.34 × 10,350
  4. Step 4: Simplify right side
    31,410.70x = 487,726,569.00
  5. Step 5: Solve for x
    x = 487,726,569.00/31,410.70
  6. Step 6: Final answer
    x = 15,527.40

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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.