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Finding the Fourth Proportional to 31,565.43, 47,347.88 and 7,872.80

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Solution

The fourth proportional to 31,565.43, 47,347.88 and 7,872.80 is: 11,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.43 : 47,347.88 = 7,872.80 : x
  2. Step 2: Convert to fraction form
    31,565.43/47,347.88 = 7,872.80/x
  3. Step 3: Cross multiply
    31,565.43x = 47,347.88 × 7,872.80
  4. Step 4: Simplify right side
    31,565.43x = 372,760,113.56
  5. Step 5: Solve for x
    x = 372,760,113.56/31,565.43
  6. Step 6: Final answer
    x = 11,809.13

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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.