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Finding the Fourth Proportional to 7,757.80, 10,705.44 and 4,221.02

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Solution

The fourth proportional to 7,757.80, 10,705.44 and 4,221.02 is: 5,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.80 : 10,705.44 = 4,221.02 : x
  2. Step 2: Convert to fraction form
    7,757.80/10,705.44 = 4,221.02/x
  3. Step 3: Cross multiply
    7,757.80x = 10,705.44 × 4,221.02
  4. Step 4: Simplify right side
    7,757.80x = 45,187,876.35
  5. Step 5: Solve for x
    x = 45,187,876.35/7,757.80
  6. Step 6: Final answer
    x = 5,824.83

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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.