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Finding the Fourth Proportional to 31,871.70, 47,807.55 and 15,239.70

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Solution

The fourth proportional to 31,871.70, 47,807.55 and 15,239.70 is: 22,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.70 : 47,807.55 = 15,239.70 : x
  2. Step 2: Convert to fraction form
    31,871.70/47,807.55 = 15,239.70/x
  3. Step 3: Cross multiply
    31,871.70x = 47,807.55 × 15,239.70
  4. Step 4: Simplify right side
    31,871.70x = 728,572,719.74
  5. Step 5: Solve for x
    x = 728,572,719.74/31,871.70
  6. Step 6: Final answer
    x = 22,859.55

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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.