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Finding the Fourth Proportional to 34,672.89, 51,978.13 and 12,470.68

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Solution

The fourth proportional to 34,672.89, 51,978.13 and 12,470.68 is: 18,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,672.89 : 51,978.13 = 12,470.68 : x
  2. Step 2: Convert to fraction form
    34,672.89/51,978.13 = 12,470.68/x
  3. Step 3: Cross multiply
    34,672.89x = 51,978.13 × 12,470.68
  4. Step 4: Simplify right side
    34,672.89x = 648,202,465.11
  5. Step 5: Solve for x
    x = 648,202,465.11/34,672.89
  6. Step 6: Final answer
    x = 18,694.79

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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.