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Finding the Fourth Proportional to 1,585.41, 2,378.03 and 843.87

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Solution

The fourth proportional to 1,585.41, 2,378.03 and 843.87 is: 1,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.41 : 2,378.03 = 843.87 : x
  2. Step 2: Convert to fraction form
    1,585.41/2,378.03 = 843.87/x
  3. Step 3: Cross multiply
    1,585.41x = 2,378.03 × 843.87
  4. Step 4: Simplify right side
    1,585.41x = 2,006,743.96
  5. Step 5: Solve for x
    x = 2,006,743.96/1,585.41
  6. Step 6: Final answer
    x = 1,265.76

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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.