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Finding the Fourth Proportional to 3,489.99, 5,235.75 and 1,149.90

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Solution

The fourth proportional to 3,489.99, 5,235.75 and 1,149.90 is: 1,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.99 : 5,235.75 = 1,149.90 : x
  2. Step 2: Convert to fraction form
    3,489.99/5,235.75 = 1,149.90/x
  3. Step 3: Cross multiply
    3,489.99x = 5,235.75 × 1,149.90
  4. Step 4: Simplify right side
    3,489.99x = 6,020,588.93
  5. Step 5: Solve for x
    x = 6,020,588.93/3,489.99
  6. Step 6: Final answer
    x = 1,725.10

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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.