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Finding the Fourth Proportional to 2,644, 3,648.72 and 1,540

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Solution

The fourth proportional to 2,644, 3,648.72 and 1,540 is: 2,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644 : 3,648.72 = 1,540 : x
  2. Step 2: Convert to fraction form
    2,644/3,648.72 = 1,540/x
  3. Step 3: Cross multiply
    2,644x = 3,648.72 × 1,540
  4. Step 4: Simplify right side
    2,644x = 5,619,028.80
  5. Step 5: Solve for x
    x = 5,619,028.80/2,644
  6. Step 6: Final answer
    x = 2,125.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.