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Finding the Fourth Proportional to 5,789.85, 8,688.87 and 4,147.78

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Solution

The fourth proportional to 5,789.85, 8,688.87 and 4,147.78 is: 6,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.85 : 8,688.87 = 4,147.78 : x
  2. Step 2: Convert to fraction form
    5,789.85/8,688.87 = 4,147.78/x
  3. Step 3: Cross multiply
    5,789.85x = 8,688.87 × 4,147.78
  4. Step 4: Simplify right side
    5,789.85x = 36,039,521.21
  5. Step 5: Solve for x
    x = 36,039,521.21/5,789.85
  6. Step 6: Final answer
    x = 6,224.60

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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.