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Finding the Fourth Proportional to 2,719.47, 3,752.90 and 1,540.52

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Solution

The fourth proportional to 2,719.47, 3,752.90 and 1,540.52 is: 2,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.47 : 3,752.90 = 1,540.52 : x
  2. Step 2: Convert to fraction form
    2,719.47/3,752.90 = 1,540.52/x
  3. Step 3: Cross multiply
    2,719.47x = 3,752.90 × 1,540.52
  4. Step 4: Simplify right side
    2,719.47x = 5,781,391.04
  5. Step 5: Solve for x
    x = 5,781,391.04/2,719.47
  6. Step 6: Final answer
    x = 2,125.93

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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.