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Finding the Fourth Proportional to 2,872.95, 4,310.09 and 925.14

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Solution

The fourth proportional to 2,872.95, 4,310.09 and 925.14 is: 1,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.95 : 4,310.09 = 925.14 : x
  2. Step 2: Convert to fraction form
    2,872.95/4,310.09 = 925.14/x
  3. Step 3: Cross multiply
    2,872.95x = 4,310.09 × 925.14
  4. Step 4: Simplify right side
    2,872.95x = 3,987,436.66
  5. Step 5: Solve for x
    x = 3,987,436.66/2,872.95
  6. Step 6: Final answer
    x = 1,387.92

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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.