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Finding the Fourth Proportional to 5,757.12, 7,974.90 and 5,640.48

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Solution

The fourth proportional to 5,757.12, 7,974.90 and 5,640.48 is: 7,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.12 : 7,974.90 = 5,640.48 : x
  2. Step 2: Convert to fraction form
    5,757.12/7,974.90 = 5,640.48/x
  3. Step 3: Cross multiply
    5,757.12x = 7,974.90 × 5,640.48
  4. Step 4: Simplify right side
    5,757.12x = 44,982,263.95
  5. Step 5: Solve for x
    x = 44,982,263.95/5,757.12
  6. Step 6: Final answer
    x = 7,813.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.