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Finding the Fourth Proportional to 5,565.96, 8,350 and 2,105.64

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Solution

The fourth proportional to 5,565.96, 8,350 and 2,105.64 is: 3,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.96 : 8,350 = 2,105.64 : x
  2. Step 2: Convert to fraction form
    5,565.96/8,350 = 2,105.64/x
  3. Step 3: Cross multiply
    5,565.96x = 8,350 × 2,105.64
  4. Step 4: Simplify right side
    5,565.96x = 17,582,094
  5. Step 5: Solve for x
    x = 17,582,094/5,565.96
  6. Step 6: Final answer
    x = 3,158.86

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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.