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Finding the Fourth Proportional to 5,609.61, 7,741.41 and 3,091.86

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Solution

The fourth proportional to 5,609.61, 7,741.41 and 3,091.86 is: 4,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.61 : 7,741.41 = 3,091.86 : x
  2. Step 2: Convert to fraction form
    5,609.61/7,741.41 = 3,091.86/x
  3. Step 3: Cross multiply
    5,609.61x = 7,741.41 × 3,091.86
  4. Step 4: Simplify right side
    5,609.61x = 23,935,355.92
  5. Step 5: Solve for x
    x = 23,935,355.92/5,609.61
  6. Step 6: Final answer
    x = 4,266.85

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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.