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Finding the Fourth Proportional to 6,687.39, 9,222.44 and 5,742.87

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Solution

The fourth proportional to 6,687.39, 9,222.44 and 5,742.87 is: 7,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.39 : 9,222.44 = 5,742.87 : x
  2. Step 2: Convert to fraction form
    6,687.39/9,222.44 = 5,742.87/x
  3. Step 3: Cross multiply
    6,687.39x = 9,222.44 × 5,742.87
  4. Step 4: Simplify right side
    6,687.39x = 52,963,245.29
  5. Step 5: Solve for x
    x = 52,963,245.29/6,687.39
  6. Step 6: Final answer
    x = 7,919.87

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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.