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Finding the Fourth Proportional to 7,008.80, 9,672.20 and 3,865.10

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Solution

The fourth proportional to 7,008.80, 9,672.20 and 3,865.10 is: 5,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.80 : 9,672.20 = 3,865.10 : x
  2. Step 2: Convert to fraction form
    7,008.80/9,672.20 = 3,865.10/x
  3. Step 3: Cross multiply
    7,008.80x = 9,672.20 × 3,865.10
  4. Step 4: Simplify right side
    7,008.80x = 37,384,020.22
  5. Step 5: Solve for x
    x = 37,384,020.22/7,008.80
  6. Step 6: Final answer
    x = 5,333.87

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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.