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Finding the Fourth Proportional to 6,687.03, 9,229.64 and 4,449

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Solution

The fourth proportional to 6,687.03, 9,229.64 and 4,449 is: 6,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.03 : 9,229.64 = 4,449 : x
  2. Step 2: Convert to fraction form
    6,687.03/9,229.64 = 4,449/x
  3. Step 3: Cross multiply
    6,687.03x = 9,229.64 × 4,449
  4. Step 4: Simplify right side
    6,687.03x = 41,062,646.12
  5. Step 5: Solve for x
    x = 41,062,646.12/6,687.03
  6. Step 6: Final answer
    x = 6,140.64

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1.5x scale

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.