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Finding the Fourth Proportional to 3,660.07, 5,490.10 and 1,351.57

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Solution

The fourth proportional to 3,660.07, 5,490.10 and 1,351.57 is: 2,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.07 : 5,490.10 = 1,351.57 : x
  2. Step 2: Convert to fraction form
    3,660.07/5,490.10 = 1,351.57/x
  3. Step 3: Cross multiply
    3,660.07x = 5,490.10 × 1,351.57
  4. Step 4: Simplify right side
    3,660.07x = 7,420,220.25
  5. Step 5: Solve for x
    x = 7,420,220.25/3,660.07
  6. Step 6: Final answer
    x = 2,027.35

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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.