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Finding the Fourth Proportional to 31,481.40, 47,188.80 and 10,416

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Solution

The fourth proportional to 31,481.40, 47,188.80 and 10,416 is: 15,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.40 : 47,188.80 = 10,416 : x
  2. Step 2: Convert to fraction form
    31,481.40/47,188.80 = 10,416/x
  3. Step 3: Cross multiply
    31,481.40x = 47,188.80 × 10,416
  4. Step 4: Simplify right side
    31,481.40x = 491,518,540.80
  5. Step 5: Solve for x
    x = 491,518,540.80/31,481.40
  6. Step 6: Final answer
    x = 15,612.98

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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.