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Finding the Fourth Proportional to 5,609.80, 7,742.10 and 3,372.40

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Solution

The fourth proportional to 5,609.80, 7,742.10 and 3,372.40 is: 4,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.80 : 7,742.10 = 3,372.40 : x
  2. Step 2: Convert to fraction form
    5,609.80/7,742.10 = 3,372.40/x
  3. Step 3: Cross multiply
    5,609.80x = 7,742.10 × 3,372.40
  4. Step 4: Simplify right side
    5,609.80x = 26,109,458.04
  5. Step 5: Solve for x
    x = 26,109,458.04/5,609.80
  6. Step 6: Final answer
    x = 4,654.26

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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.