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Finding the Fourth Proportional to 1,861.35, 2,787.17 and 991.41

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Solution

The fourth proportional to 1,861.35, 2,787.17 and 991.41 is: 1,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.35 : 2,787.17 = 991.41 : x
  2. Step 2: Convert to fraction form
    1,861.35/2,787.17 = 991.41/x
  3. Step 3: Cross multiply
    1,861.35x = 2,787.17 × 991.41
  4. Step 4: Simplify right side
    1,861.35x = 2,763,223.25
  5. Step 5: Solve for x
    x = 2,763,223.25/1,861.35
  6. Step 6: Final answer
    x = 1,484.53

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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.