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Finding the Fourth Proportional to 5,876.57, 8,812.68 and 4,120.68

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Solution

The fourth proportional to 5,876.57, 8,812.68 and 4,120.68 is: 6,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.57 : 8,812.68 = 4,120.68 : x
  2. Step 2: Convert to fraction form
    5,876.57/8,812.68 = 4,120.68/x
  3. Step 3: Cross multiply
    5,876.57x = 8,812.68 × 4,120.68
  4. Step 4: Simplify right side
    5,876.57x = 36,314,234.22
  5. Step 5: Solve for x
    x = 36,314,234.22/5,876.57
  6. Step 6: Final answer
    x = 6,179.49

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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.