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Finding the Fourth Proportional to 8,129.97, 12,211.29 and 4,849.47

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Solution

The fourth proportional to 8,129.97, 12,211.29 and 4,849.47 is: 7,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.97 : 12,211.29 = 4,849.47 : x
  2. Step 2: Convert to fraction form
    8,129.97/12,211.29 = 4,849.47/x
  3. Step 3: Cross multiply
    8,129.97x = 12,211.29 × 4,849.47
  4. Step 4: Simplify right side
    8,129.97x = 59,218,284.52
  5. Step 5: Solve for x
    x = 59,218,284.52/8,129.97
  6. Step 6: Final answer
    x = 7,283.95

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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.