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Finding the Fourth Proportional to 5,613.57, 7,746.47 and 3,221.88

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Solution

The fourth proportional to 5,613.57, 7,746.47 and 3,221.88 is: 4,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.57 : 7,746.47 = 3,221.88 : x
  2. Step 2: Convert to fraction form
    5,613.57/7,746.47 = 3,221.88/x
  3. Step 3: Cross multiply
    5,613.57x = 7,746.47 × 3,221.88
  4. Step 4: Simplify right side
    5,613.57x = 24,958,180.65
  5. Step 5: Solve for x
    x = 24,958,180.65/5,613.57
  6. Step 6: Final answer
    x = 4,446.04

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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.