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Finding the Fourth Proportional to 47,753.76, 71,630.56 and 12,693.42

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Solution

The fourth proportional to 47,753.76, 71,630.56 and 12,693.42 is: 19,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,753.76 : 71,630.56 = 12,693.42 : x
  2. Step 2: Convert to fraction form
    47,753.76/71,630.56 = 12,693.42/x
  3. Step 3: Cross multiply
    47,753.76x = 71,630.56 × 12,693.42
  4. Step 4: Simplify right side
    47,753.76x = 909,236,798.78
  5. Step 5: Solve for x
    x = 909,236,798.78/47,753.76
  6. Step 6: Final answer
    x = 19,040.11

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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.