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Finding the Fourth Proportional to 5,640.62, 7,775.90 and 3,956.80

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Solution

The fourth proportional to 5,640.62, 7,775.90 and 3,956.80 is: 5,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.62 : 7,775.90 = 3,956.80 : x
  2. Step 2: Convert to fraction form
    5,640.62/7,775.90 = 3,956.80/x
  3. Step 3: Cross multiply
    5,640.62x = 7,775.90 × 3,956.80
  4. Step 4: Simplify right side
    5,640.62x = 30,767,641.90
  5. Step 5: Solve for x
    x = 30,767,641.90/5,640.62
  6. Step 6: Final answer
    x = 5,454.66

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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.