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Finding the Fourth Proportional to 1,581.74, 2,371.65 and 811.82

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Solution

The fourth proportional to 1,581.74, 2,371.65 and 811.82 is: 1,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.74 : 2,371.65 = 811.82 : x
  2. Step 2: Convert to fraction form
    1,581.74/2,371.65 = 811.82/x
  3. Step 3: Cross multiply
    1,581.74x = 2,371.65 × 811.82
  4. Step 4: Simplify right side
    1,581.74x = 1,925,352.90
  5. Step 5: Solve for x
    x = 1,925,352.90/1,581.74
  6. Step 6: Final answer
    x = 1,217.24

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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.