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Finding the Fourth Proportional to 31,660.38, 47,473 and 12,953.55

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Solution

The fourth proportional to 31,660.38, 47,473 and 12,953.55 is: 19,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.38 : 47,473 = 12,953.55 : x
  2. Step 2: Convert to fraction form
    31,660.38/47,473 = 12,953.55/x
  3. Step 3: Cross multiply
    31,660.38x = 47,473 × 12,953.55
  4. Step 4: Simplify right side
    31,660.38x = 614,943,879.15
  5. Step 5: Solve for x
    x = 614,943,879.15/31,660.38
  6. Step 6: Final answer
    x = 19,423.14

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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.