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Finding the Fourth Proportional to 1,351.12, 2,023.49 and 862.69

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Solution

The fourth proportional to 1,351.12, 2,023.49 and 862.69 is: 1,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.12 : 2,023.49 = 862.69 : x
  2. Step 2: Convert to fraction form
    1,351.12/2,023.49 = 862.69/x
  3. Step 3: Cross multiply
    1,351.12x = 2,023.49 × 862.69
  4. Step 4: Simplify right side
    1,351.12x = 1,745,644.59
  5. Step 5: Solve for x
    x = 1,745,644.59/1,351.12
  6. Step 6: Final answer
    x = 1,292.00

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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.