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Finding the Fourth Proportional to 5,609.54, 7,741.32 and 3,091.80

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Solution

The fourth proportional to 5,609.54, 7,741.32 and 3,091.80 is: 4,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.54 : 7,741.32 = 3,091.80 : x
  2. Step 2: Convert to fraction form
    5,609.54/7,741.32 = 3,091.80/x
  3. Step 3: Cross multiply
    5,609.54x = 7,741.32 × 3,091.80
  4. Step 4: Simplify right side
    5,609.54x = 23,934,613.18
  5. Step 5: Solve for x
    x = 23,934,613.18/5,609.54
  6. Step 6: Final answer
    x = 4,266.77

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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.