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Finding the Fourth Proportional to 6,291.50, 8,682.28 and 3,497

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Solution

The fourth proportional to 6,291.50, 8,682.28 and 3,497 is: 4,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.50 : 8,682.28 = 3,497 : x
  2. Step 2: Convert to fraction form
    6,291.50/8,682.28 = 3,497/x
  3. Step 3: Cross multiply
    6,291.50x = 8,682.28 × 3,497
  4. Step 4: Simplify right side
    6,291.50x = 30,361,933.16
  5. Step 5: Solve for x
    x = 30,361,933.16/6,291.50
  6. Step 6: Final answer
    x = 4,825.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.