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Finding the Fourth Proportional to 5,655.68, 8,481.48 and 1,956.90

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Solution

The fourth proportional to 5,655.68, 8,481.48 and 1,956.90 is: 2,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.68 : 8,481.48 = 1,956.90 : x
  2. Step 2: Convert to fraction form
    5,655.68/8,481.48 = 1,956.90/x
  3. Step 3: Cross multiply
    5,655.68x = 8,481.48 × 1,956.90
  4. Step 4: Simplify right side
    5,655.68x = 16,597,408.21
  5. Step 5: Solve for x
    x = 16,597,408.21/5,655.68
  6. Step 6: Final answer
    x = 2,934.65

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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.