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Finding the Fourth Proportional to 6,613.84, 9,919.68 and 2,231.20

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Solution

The fourth proportional to 6,613.84, 9,919.68 and 2,231.20 is: 3,346.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.84 : 9,919.68 = 2,231.20 : x
  2. Step 2: Convert to fraction form
    6,613.84/9,919.68 = 2,231.20/x
  3. Step 3: Cross multiply
    6,613.84x = 9,919.68 × 2,231.20
  4. Step 4: Simplify right side
    6,613.84x = 22,132,790.02
  5. Step 5: Solve for x
    x = 22,132,790.02/6,613.84
  6. Step 6: Final answer
    x = 3,346.44

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1.5x scale

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.