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Finding the Fourth Proportional to 3,633.66, 5,424.35 and 3,487.86

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Solution

The fourth proportional to 3,633.66, 5,424.35 and 3,487.86 is: 5,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.66 : 5,424.35 = 3,487.86 : x
  2. Step 2: Convert to fraction form
    3,633.66/5,424.35 = 3,487.86/x
  3. Step 3: Cross multiply
    3,633.66x = 5,424.35 × 3,487.86
  4. Step 4: Simplify right side
    3,633.66x = 18,919,355.95
  5. Step 5: Solve for x
    x = 18,919,355.95/3,633.66
  6. Step 6: Final answer
    x = 5,206.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.