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Finding the Fourth Proportional to 2,432.06, 3,647.18 and 871.64

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Solution

The fourth proportional to 2,432.06, 3,647.18 and 871.64 is: 1,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.06 : 3,647.18 = 871.64 : x
  2. Step 2: Convert to fraction form
    2,432.06/3,647.18 = 871.64/x
  3. Step 3: Cross multiply
    2,432.06x = 3,647.18 × 871.64
  4. Step 4: Simplify right side
    2,432.06x = 3,179,005.38
  5. Step 5: Solve for x
    x = 3,179,005.38/2,432.06
  6. Step 6: Final answer
    x = 1,307.13

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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.