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Finding the Fourth Proportional to 1,581.01, 2,371.36 and 891.95

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Solution

The fourth proportional to 1,581.01, 2,371.36 and 891.95 is: 1,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.01 : 2,371.36 = 891.95 : x
  2. Step 2: Convert to fraction form
    1,581.01/2,371.36 = 891.95/x
  3. Step 3: Cross multiply
    1,581.01x = 2,371.36 × 891.95
  4. Step 4: Simplify right side
    1,581.01x = 2,115,134.55
  5. Step 5: Solve for x
    x = 2,115,134.55/1,581.01
  6. Step 6: Final answer
    x = 1,337.84

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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.