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Finding the Fourth Proportional to 3,659.75, 5,490.30 and 1,468.70

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Solution

The fourth proportional to 3,659.75, 5,490.30 and 1,468.70 is: 2,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.75 : 5,490.30 = 1,468.70 : x
  2. Step 2: Convert to fraction form
    3,659.75/5,490.30 = 1,468.70/x
  3. Step 3: Cross multiply
    3,659.75x = 5,490.30 × 1,468.70
  4. Step 4: Simplify right side
    3,659.75x = 8,063,603.61
  5. Step 5: Solve for x
    x = 8,063,603.61/3,659.75
  6. Step 6: Final answer
    x = 2,203.32

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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.