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Finding the Fourth Proportional to 5,645.70, 7,793.82 and 3,758.40

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Solution

The fourth proportional to 5,645.70, 7,793.82 and 3,758.40 is: 5,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.70 : 7,793.82 = 3,758.40 : x
  2. Step 2: Convert to fraction form
    5,645.70/7,793.82 = 3,758.40/x
  3. Step 3: Cross multiply
    5,645.70x = 7,793.82 × 3,758.40
  4. Step 4: Simplify right side
    5,645.70x = 29,292,293.09
  5. Step 5: Solve for x
    x = 29,292,293.09/5,645.70
  6. Step 6: Final answer
    x = 5,188.43

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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.