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Finding the Fourth Proportional to 2,952.16, 4,427.20 and 871.61

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Solution

The fourth proportional to 2,952.16, 4,427.20 and 871.61 is: 1,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.16 : 4,427.20 = 871.61 : x
  2. Step 2: Convert to fraction form
    2,952.16/4,427.20 = 871.61/x
  3. Step 3: Cross multiply
    2,952.16x = 4,427.20 × 871.61
  4. Step 4: Simplify right side
    2,952.16x = 3,858,790.75
  5. Step 5: Solve for x
    x = 3,858,790.75/2,952.16
  6. Step 6: Final answer
    x = 1,307.11

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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.