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Finding the Fourth Proportional to 3,409.02, 5,113.53 and 1,187.87

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Solution

The fourth proportional to 3,409.02, 5,113.53 and 1,187.87 is: 1,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.02 : 5,113.53 = 1,187.87 : x
  2. Step 2: Convert to fraction form
    3,409.02/5,113.53 = 1,187.87/x
  3. Step 3: Cross multiply
    3,409.02x = 5,113.53 × 1,187.87
  4. Step 4: Simplify right side
    3,409.02x = 6,074,183.31
  5. Step 5: Solve for x
    x = 6,074,183.31/3,409.02
  6. Step 6: Final answer
    x = 1,781.80

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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.