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Finding the Fourth Proportional to 5,781.76, 8,665.04 and 2,314.96

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Solution

The fourth proportional to 5,781.76, 8,665.04 and 2,314.96 is: 3,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.76 : 8,665.04 = 2,314.96 : x
  2. Step 2: Convert to fraction form
    5,781.76/8,665.04 = 2,314.96/x
  3. Step 3: Cross multiply
    5,781.76x = 8,665.04 × 2,314.96
  4. Step 4: Simplify right side
    5,781.76x = 20,059,221.00
  5. Step 5: Solve for x
    x = 20,059,221.00/5,781.76
  6. Step 6: Final answer
    x = 3,469.40

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1.5x scale

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.