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Finding the Fourth Proportional to 47,751.54, 71,627.24 and 12,691.20

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Solution

The fourth proportional to 47,751.54, 71,627.24 and 12,691.20 is: 19,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.54 : 71,627.24 = 12,691.20 : x
  2. Step 2: Convert to fraction form
    47,751.54/71,627.24 = 12,691.20/x
  3. Step 3: Cross multiply
    47,751.54x = 71,627.24 × 12,691.20
  4. Step 4: Simplify right side
    47,751.54x = 909,035,628.29
  5. Step 5: Solve for x
    x = 909,035,628.29/47,751.54
  6. Step 6: Final answer
    x = 19,036.78

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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.