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Finding the Fourth Proportional to 2,158.27, 3,237.01 and 752.90

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Solution

The fourth proportional to 2,158.27, 3,237.01 and 752.90 is: 1,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.27 : 3,237.01 = 752.90 : x
  2. Step 2: Convert to fraction form
    2,158.27/3,237.01 = 752.90/x
  3. Step 3: Cross multiply
    2,158.27x = 3,237.01 × 752.90
  4. Step 4: Simplify right side
    2,158.27x = 2,437,131.00
  5. Step 5: Solve for x
    x = 2,437,131.00/2,158.27
  6. Step 6: Final answer
    x = 1,129.21

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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.