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Finding the Fourth Proportional to 2,952.35, 4,427.19 and 871.63

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Solution

The fourth proportional to 2,952.35, 4,427.19 and 871.63 is: 1,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.35 : 4,427.19 = 871.63 : x
  2. Step 2: Convert to fraction form
    2,952.35/4,427.19 = 871.63/x
  3. Step 3: Cross multiply
    2,952.35x = 4,427.19 × 871.63
  4. Step 4: Simplify right side
    2,952.35x = 3,858,860.55
  5. Step 5: Solve for x
    x = 3,858,860.55/2,952.35
  6. Step 6: Final answer
    x = 1,307.05

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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.