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Finding the Fourth Proportional to 1,781.96, 2,671 and 1,433.64

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Solution

The fourth proportional to 1,781.96, 2,671 and 1,433.64 is: 2,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.96 : 2,671 = 1,433.64 : x
  2. Step 2: Convert to fraction form
    1,781.96/2,671 = 1,433.64/x
  3. Step 3: Cross multiply
    1,781.96x = 2,671 × 1,433.64
  4. Step 4: Simplify right side
    1,781.96x = 3,829,252.44
  5. Step 5: Solve for x
    x = 3,829,252.44/1,781.96
  6. Step 6: Final answer
    x = 2,148.90

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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.