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Finding the Fourth Proportional to 7,451.65, 11,177.50 and 2,772.69

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Solution

The fourth proportional to 7,451.65, 11,177.50 and 2,772.69 is: 4,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.65 : 11,177.50 = 2,772.69 : x
  2. Step 2: Convert to fraction form
    7,451.65/11,177.50 = 2,772.69/x
  3. Step 3: Cross multiply
    7,451.65x = 11,177.50 × 2,772.69
  4. Step 4: Simplify right side
    7,451.65x = 30,991,742.48
  5. Step 5: Solve for x
    x = 30,991,742.48/7,451.65
  6. Step 6: Final answer
    x = 4,159.04

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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.