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Finding the Fourth Proportional to 7,243.71, 10,869.21 and 3,347.61

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Solution

The fourth proportional to 7,243.71, 10,869.21 and 3,347.61 is: 5,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.71 : 10,869.21 = 3,347.61 : x
  2. Step 2: Convert to fraction form
    7,243.71/10,869.21 = 3,347.61/x
  3. Step 3: Cross multiply
    7,243.71x = 10,869.21 × 3,347.61
  4. Step 4: Simplify right side
    7,243.71x = 36,385,876.09
  5. Step 5: Solve for x
    x = 36,385,876.09/7,243.71
  6. Step 6: Final answer
    x = 5,023.10

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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.