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Finding the Fourth Proportional to 3,657.74, 5,487.18 and 1,191.99

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Solution

The fourth proportional to 3,657.74, 5,487.18 and 1,191.99 is: 1,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.74 : 5,487.18 = 1,191.99 : x
  2. Step 2: Convert to fraction form
    3,657.74/5,487.18 = 1,191.99/x
  3. Step 3: Cross multiply
    3,657.74x = 5,487.18 × 1,191.99
  4. Step 4: Simplify right side
    3,657.74x = 6,540,630.29
  5. Step 5: Solve for x
    x = 6,540,630.29/3,657.74
  6. Step 6: Final answer
    x = 1,788.16

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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.