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Finding the Fourth Proportional to 5,747.60, 7,933.20 and 3,390.50

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Solution

The fourth proportional to 5,747.60, 7,933.20 and 3,390.50 is: 4,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.60 : 7,933.20 = 3,390.50 : x
  2. Step 2: Convert to fraction form
    5,747.60/7,933.20 = 3,390.50/x
  3. Step 3: Cross multiply
    5,747.60x = 7,933.20 × 3,390.50
  4. Step 4: Simplify right side
    5,747.60x = 26,897,514.60
  5. Step 5: Solve for x
    x = 26,897,514.60/5,747.60
  6. Step 6: Final answer
    x = 4,679.78

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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.