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Finding the Fourth Proportional to 5,641.20, 7,786.80 and 3,878.64

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Solution

The fourth proportional to 5,641.20, 7,786.80 and 3,878.64 is: 5,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.20 : 7,786.80 = 3,878.64 : x
  2. Step 2: Convert to fraction form
    5,641.20/7,786.80 = 3,878.64/x
  3. Step 3: Cross multiply
    5,641.20x = 7,786.80 × 3,878.64
  4. Step 4: Simplify right side
    5,641.20x = 30,202,193.95
  5. Step 5: Solve for x
    x = 30,202,193.95/5,641.20
  6. Step 6: Final answer
    x = 5,353.86

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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.