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Finding the Fourth Proportional to 3,662, 5,488 and 1,686.48

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Solution

The fourth proportional to 3,662, 5,488 and 1,686.48 is: 2,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662 : 5,488 = 1,686.48 : x
  2. Step 2: Convert to fraction form
    3,662/5,488 = 1,686.48/x
  3. Step 3: Cross multiply
    3,662x = 5,488 × 1,686.48
  4. Step 4: Simplify right side
    3,662x = 9,255,402.24
  5. Step 5: Solve for x
    x = 9,255,402.24/3,662
  6. Step 6: Final answer
    x = 2,527.42

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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.