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Finding the Fourth Proportional to 12,275.52, 18,412.84 and 3,956

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Solution

The fourth proportional to 12,275.52, 18,412.84 and 3,956 is: 5,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.52 : 18,412.84 = 3,956 : x
  2. Step 2: Convert to fraction form
    12,275.52/18,412.84 = 3,956/x
  3. Step 3: Cross multiply
    12,275.52x = 18,412.84 × 3,956
  4. Step 4: Simplify right side
    12,275.52x = 72,841,195.04
  5. Step 5: Solve for x
    x = 72,841,195.04/12,275.52
  6. Step 6: Final answer
    x = 5,933.86

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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.