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Finding the Fourth Proportional to 47,718.88, 71,581.92 and 12,657.52

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Solution

The fourth proportional to 47,718.88, 71,581.92 and 12,657.52 is: 18,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718.88 : 71,581.92 = 12,657.52 : x
  2. Step 2: Convert to fraction form
    47,718.88/71,581.92 = 12,657.52/x
  3. Step 3: Cross multiply
    47,718.88x = 71,581.92 × 12,657.52
  4. Step 4: Simplify right side
    47,718.88x = 906,049,584.04
  5. Step 5: Solve for x
    x = 906,049,584.04/47,718.88
  6. Step 6: Final answer
    x = 18,987.23

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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.