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Finding the Fourth Proportional to 1,861.92, 2,781.90 and 1,797.30

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Solution

The fourth proportional to 1,861.92, 2,781.90 and 1,797.30 is: 2,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.92 : 2,781.90 = 1,797.30 : x
  2. Step 2: Convert to fraction form
    1,861.92/2,781.90 = 1,797.30/x
  3. Step 3: Cross multiply
    1,861.92x = 2,781.90 × 1,797.30
  4. Step 4: Simplify right side
    1,861.92x = 4,999,908.87
  5. Step 5: Solve for x
    x = 4,999,908.87/1,861.92
  6. Step 6: Final answer
    x = 2,685.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.