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Finding the Fourth Proportional to 6,520.87, 9,002.70 and 4,286.48

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Solution

The fourth proportional to 6,520.87, 9,002.70 and 4,286.48 is: 5,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.87 : 9,002.70 = 4,286.48 : x
  2. Step 2: Convert to fraction form
    6,520.87/9,002.70 = 4,286.48/x
  3. Step 3: Cross multiply
    6,520.87x = 9,002.70 × 4,286.48
  4. Step 4: Simplify right side
    6,520.87x = 38,589,872.06
  5. Step 5: Solve for x
    x = 38,589,872.06/6,520.87
  6. Step 6: Final answer
    x = 5,917.91

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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.