Home / 1,591.24-2,388.36-861.40

Finding the Fourth Proportional to 1,591.24, 2,388.36 and 861.40

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Solution

The fourth proportional to 1,591.24, 2,388.36 and 861.40 is: 1,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.24 : 2,388.36 = 861.40 : x
  2. Step 2: Convert to fraction form
    1,591.24/2,388.36 = 861.40/x
  3. Step 3: Cross multiply
    1,591.24x = 2,388.36 × 861.40
  4. Step 4: Simplify right side
    1,591.24x = 2,057,333.30
  5. Step 5: Solve for x
    x = 2,057,333.30/1,591.24
  6. Step 6: Final answer
    x = 1,292.91

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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.