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Finding the Fourth Proportional to 1,861.87, 2,780.02 and 1,587.82

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Solution

The fourth proportional to 1,861.87, 2,780.02 and 1,587.82 is: 2,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.87 : 2,780.02 = 1,587.82 : x
  2. Step 2: Convert to fraction form
    1,861.87/2,780.02 = 1,587.82/x
  3. Step 3: Cross multiply
    1,861.87x = 2,780.02 × 1,587.82
  4. Step 4: Simplify right side
    1,861.87x = 4,414,171.36
  5. Step 5: Solve for x
    x = 4,414,171.36/1,861.87
  6. Step 6: Final answer
    x = 2,370.83

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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.