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Finding the Fourth Proportional to 31,984.96, 47,976.36 and 8,610.52

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Solution

The fourth proportional to 31,984.96, 47,976.36 and 8,610.52 is: 12,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.96 : 47,976.36 = 8,610.52 : x
  2. Step 2: Convert to fraction form
    31,984.96/47,976.36 = 8,610.52/x
  3. Step 3: Cross multiply
    31,984.96x = 47,976.36 × 8,610.52
  4. Step 4: Simplify right side
    31,984.96x = 413,101,407.31
  5. Step 5: Solve for x
    x = 413,101,407.31/31,984.96
  6. Step 6: Final answer
    x = 12,915.49

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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.