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Finding the Fourth Proportional to 7,757.80, 10,705.44 and 4,220.80

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Solution

The fourth proportional to 7,757.80, 10,705.44 and 4,220.80 is: 5,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.80 : 10,705.44 = 4,220.80 : x
  2. Step 2: Convert to fraction form
    7,757.80/10,705.44 = 4,220.80/x
  3. Step 3: Cross multiply
    7,757.80x = 10,705.44 × 4,220.80
  4. Step 4: Simplify right side
    7,757.80x = 45,185,521.15
  5. Step 5: Solve for x
    x = 45,185,521.15/7,757.80
  6. Step 6: Final answer
    x = 5,824.53

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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.