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Finding the Fourth Proportional to 2,687.52, 3,705.80 and 1,691.60

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Solution

The fourth proportional to 2,687.52, 3,705.80 and 1,691.60 is: 2,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.52 : 3,705.80 = 1,691.60 : x
  2. Step 2: Convert to fraction form
    2,687.52/3,705.80 = 1,691.60/x
  3. Step 3: Cross multiply
    2,687.52x = 3,705.80 × 1,691.60
  4. Step 4: Simplify right side
    2,687.52x = 6,268,731.28
  5. Step 5: Solve for x
    x = 6,268,731.28/2,687.52
  6. Step 6: Final answer
    x = 2,332.53

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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.