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Finding the Fourth Proportional to 9,129.83, 12,599.75 and 5,149.49

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Solution

The fourth proportional to 9,129.83, 12,599.75 and 5,149.49 is: 7,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.83 : 12,599.75 = 5,149.49 : x
  2. Step 2: Convert to fraction form
    9,129.83/12,599.75 = 5,149.49/x
  3. Step 3: Cross multiply
    9,129.83x = 12,599.75 × 5,149.49
  4. Step 4: Simplify right side
    9,129.83x = 64,882,292.38
  5. Step 5: Solve for x
    x = 64,882,292.38/9,129.83
  6. Step 6: Final answer
    x = 7,106.62

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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.