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Finding the Fourth Proportional to 2,427.87, 3,642.45 and 868.03

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Solution

The fourth proportional to 2,427.87, 3,642.45 and 868.03 is: 1,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.87 : 3,642.45 = 868.03 : x
  2. Step 2: Convert to fraction form
    2,427.87/3,642.45 = 868.03/x
  3. Step 3: Cross multiply
    2,427.87x = 3,642.45 × 868.03
  4. Step 4: Simplify right side
    2,427.87x = 3,161,768.88
  5. Step 5: Solve for x
    x = 3,161,768.88/2,427.87
  6. Step 6: Final answer
    x = 1,302.28

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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.