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Finding the Fourth Proportional to 2,427.87, 3,642.17 and 888.75

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Solution

The fourth proportional to 2,427.87, 3,642.17 and 888.75 is: 1,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.87 : 3,642.17 = 888.75 : x
  2. Step 2: Convert to fraction form
    2,427.87/3,642.17 = 888.75/x
  3. Step 3: Cross multiply
    2,427.87x = 3,642.17 × 888.75
  4. Step 4: Simplify right side
    2,427.87x = 3,236,974.14
  5. Step 5: Solve for x
    x = 3,236,974.14/2,427.87
  6. Step 6: Final answer
    x = 1,333.26

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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.