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Finding the Fourth Proportional to 2,427.12, 3,639.42 and 866.52

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Solution

The fourth proportional to 2,427.12, 3,639.42 and 866.52 is: 1,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.12 : 3,639.42 = 866.52 : x
  2. Step 2: Convert to fraction form
    2,427.12/3,639.42 = 866.52/x
  3. Step 3: Cross multiply
    2,427.12x = 3,639.42 × 866.52
  4. Step 4: Simplify right side
    2,427.12x = 3,153,630.22
  5. Step 5: Solve for x
    x = 3,153,630.22/2,427.12
  6. Step 6: Final answer
    x = 1,299.33

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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.