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Finding the Fourth Proportional to 7,475.76, 11,218.05 and 2,731.49

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Solution

The fourth proportional to 7,475.76, 11,218.05 and 2,731.49 is: 4,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.76 : 11,218.05 = 2,731.49 : x
  2. Step 2: Convert to fraction form
    7,475.76/11,218.05 = 2,731.49/x
  3. Step 3: Cross multiply
    7,475.76x = 11,218.05 × 2,731.49
  4. Step 4: Simplify right side
    7,475.76x = 30,642,048.16
  5. Step 5: Solve for x
    x = 30,642,048.16/7,475.76
  6. Step 6: Final answer
    x = 4,098.86

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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.