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Finding the Fourth Proportional to 2,158.40, 3,238.13 and 752.61

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Solution

The fourth proportional to 2,158.40, 3,238.13 and 752.61 is: 1,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.40 : 3,238.13 = 752.61 : x
  2. Step 2: Convert to fraction form
    2,158.40/3,238.13 = 752.61/x
  3. Step 3: Cross multiply
    2,158.40x = 3,238.13 × 752.61
  4. Step 4: Simplify right side
    2,158.40x = 2,437,049.02
  5. Step 5: Solve for x
    x = 2,437,049.02/2,158.40
  6. Step 6: Final answer
    x = 1,129.10

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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.