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Finding the Fourth Proportional to 6,697.68, 9,221.76 and 5,687.26

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Solution

The fourth proportional to 6,697.68, 9,221.76 and 5,687.26 is: 7,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.68 : 9,221.76 = 5,687.26 : x
  2. Step 2: Convert to fraction form
    6,697.68/9,221.76 = 5,687.26/x
  3. Step 3: Cross multiply
    6,697.68x = 9,221.76 × 5,687.26
  4. Step 4: Simplify right side
    6,697.68x = 52,446,546.78
  5. Step 5: Solve for x
    x = 52,446,546.78/6,697.68
  6. Step 6: Final answer
    x = 7,830.55

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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.