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Finding the Fourth Proportional to 5,691.86, 8,535.74 and 2,405.21

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Solution

The fourth proportional to 5,691.86, 8,535.74 and 2,405.21 is: 3,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.86 : 8,535.74 = 2,405.21 : x
  2. Step 2: Convert to fraction form
    5,691.86/8,535.74 = 2,405.21/x
  3. Step 3: Cross multiply
    5,691.86x = 8,535.74 × 2,405.21
  4. Step 4: Simplify right side
    5,691.86x = 20,530,233.53
  5. Step 5: Solve for x
    x = 20,530,233.53/5,691.86
  6. Step 6: Final answer
    x = 3,606.95

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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.