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Finding the Fourth Proportional to 47,984, 66,217.92 and 28,112

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Solution

The fourth proportional to 47,984, 66,217.92 and 28,112 is: 38,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,984 : 66,217.92 = 28,112 : x
  2. Step 2: Convert to fraction form
    47,984/66,217.92 = 28,112/x
  3. Step 3: Cross multiply
    47,984x = 66,217.92 × 28,112
  4. Step 4: Simplify right side
    47,984x = 1,861,518,167.04
  5. Step 5: Solve for x
    x = 1,861,518,167.04/47,984
  6. Step 6: Final answer
    x = 38,794.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.