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Finding the Fourth Proportional to 7,750.80, 10,701.38 and 5,202.38

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Solution

The fourth proportional to 7,750.80, 10,701.38 and 5,202.38 is: 7,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.80 : 10,701.38 = 5,202.38 : x
  2. Step 2: Convert to fraction form
    7,750.80/10,701.38 = 5,202.38/x
  3. Step 3: Cross multiply
    7,750.80x = 10,701.38 × 5,202.38
  4. Step 4: Simplify right side
    7,750.80x = 55,672,631.54
  5. Step 5: Solve for x
    x = 55,672,631.54/7,750.80
  6. Step 6: Final answer
    x = 7,182.83

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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.