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Finding the Fourth Proportional to 31,425.92, 47,128.92 and 10,644.56

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Solution

The fourth proportional to 31,425.92, 47,128.92 and 10,644.56 is: 15,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425.92 : 47,128.92 = 10,644.56 : x
  2. Step 2: Convert to fraction form
    31,425.92/47,128.92 = 10,644.56/x
  3. Step 3: Cross multiply
    31,425.92x = 47,128.92 × 10,644.56
  4. Step 4: Simplify right side
    31,425.92x = 501,666,616.68
  5. Step 5: Solve for x
    x = 501,666,616.68/31,425.92
  6. Step 6: Final answer
    x = 15,963.47

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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.