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Finding the Fourth Proportional to 6,644, 9,966.72 and 2,540

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Solution

The fourth proportional to 6,644, 9,966.72 and 2,540 is: 3,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644 : 9,966.72 = 2,540 : x
  2. Step 2: Convert to fraction form
    6,644/9,966.72 = 2,540/x
  3. Step 3: Cross multiply
    6,644x = 9,966.72 × 2,540
  4. Step 4: Simplify right side
    6,644x = 25,315,468.80
  5. Step 5: Solve for x
    x = 25,315,468.80/6,644
  6. Step 6: Final answer
    x = 3,810.28

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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.