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Finding the Fourth Proportional to 2,909, 4,363.48 and 1,613.21

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Solution

The fourth proportional to 2,909, 4,363.48 and 1,613.21 is: 2,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909 : 4,363.48 = 1,613.21 : x
  2. Step 2: Convert to fraction form
    2,909/4,363.48 = 1,613.21/x
  3. Step 3: Cross multiply
    2,909x = 4,363.48 × 1,613.21
  4. Step 4: Simplify right side
    2,909x = 7,039,209.57
  5. Step 5: Solve for x
    x = 7,039,209.57/2,909
  6. Step 6: Final answer
    x = 2,419.80

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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.