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Finding the Fourth Proportional to 31,702.56, 47,513.14 and 11,957.60

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Solution

The fourth proportional to 31,702.56, 47,513.14 and 11,957.60 is: 17,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.56 : 47,513.14 = 11,957.60 : x
  2. Step 2: Convert to fraction form
    31,702.56/47,513.14 = 11,957.60/x
  3. Step 3: Cross multiply
    31,702.56x = 47,513.14 × 11,957.60
  4. Step 4: Simplify right side
    31,702.56x = 568,143,122.86
  5. Step 5: Solve for x
    x = 568,143,122.86/31,702.56
  6. Step 6: Final answer
    x = 17,921.05

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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.