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Finding the Fourth Proportional to 7,666.50, 11,499.75 and 2,472.39

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Solution

The fourth proportional to 7,666.50, 11,499.75 and 2,472.39 is: 3,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.50 : 11,499.75 = 2,472.39 : x
  2. Step 2: Convert to fraction form
    7,666.50/11,499.75 = 2,472.39/x
  3. Step 3: Cross multiply
    7,666.50x = 11,499.75 × 2,472.39
  4. Step 4: Simplify right side
    7,666.50x = 28,431,866.90
  5. Step 5: Solve for x
    x = 28,431,866.90/7,666.50
  6. Step 6: Final answer
    x = 3,708.59

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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.