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Finding the Fourth Proportional to 1,691.64, 2,334.42 and 1,641.96

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Solution

The fourth proportional to 1,691.64, 2,334.42 and 1,641.96 is: 2,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.64 : 2,334.42 = 1,641.96 : x
  2. Step 2: Convert to fraction form
    1,691.64/2,334.42 = 1,641.96/x
  3. Step 3: Cross multiply
    1,691.64x = 2,334.42 × 1,641.96
  4. Step 4: Simplify right side
    1,691.64x = 3,833,024.26
  5. Step 5: Solve for x
    x = 3,833,024.26/1,691.64
  6. Step 6: Final answer
    x = 2,265.86

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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.