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Finding the Fourth Proportional to 2,158.95, 3,236.46 and 925.66

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Solution

The fourth proportional to 2,158.95, 3,236.46 and 925.66 is: 1,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.95 : 3,236.46 = 925.66 : x
  2. Step 2: Convert to fraction form
    2,158.95/3,236.46 = 925.66/x
  3. Step 3: Cross multiply
    2,158.95x = 3,236.46 × 925.66
  4. Step 4: Simplify right side
    2,158.95x = 2,995,862.14
  5. Step 5: Solve for x
    x = 2,995,862.14/2,158.95
  6. Step 6: Final answer
    x = 1,387.65

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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.