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Finding the Fourth Proportional to 1,671.71, 2,512.10 and 892.25

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Solution

The fourth proportional to 1,671.71, 2,512.10 and 892.25 is: 1,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.71 : 2,512.10 = 892.25 : x
  2. Step 2: Convert to fraction form
    1,671.71/2,512.10 = 892.25/x
  3. Step 3: Cross multiply
    1,671.71x = 2,512.10 × 892.25
  4. Step 4: Simplify right side
    1,671.71x = 2,241,404.20
  5. Step 5: Solve for x
    x = 2,241,404.20/1,671.71
  6. Step 6: Final answer
    x = 1,340.79

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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.