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Finding the Fourth Proportional to 5,738.80, 8,593.80 and 3,780.40

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Solution

The fourth proportional to 5,738.80, 8,593.80 and 3,780.40 is: 5,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.80 : 8,593.80 = 3,780.40 : x
  2. Step 2: Convert to fraction form
    5,738.80/8,593.80 = 3,780.40/x
  3. Step 3: Cross multiply
    5,738.80x = 8,593.80 × 3,780.40
  4. Step 4: Simplify right side
    5,738.80x = 32,488,001.52
  5. Step 5: Solve for x
    x = 32,488,001.52/5,738.80
  6. Step 6: Final answer
    x = 5,661.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.