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Finding the Fourth Proportional to 5,728.62, 8,593.14 and 1,780.90

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Solution

The fourth proportional to 5,728.62, 8,593.14 and 1,780.90 is: 2,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.62 : 8,593.14 = 1,780.90 : x
  2. Step 2: Convert to fraction form
    5,728.62/8,593.14 = 1,780.90/x
  3. Step 3: Cross multiply
    5,728.62x = 8,593.14 × 1,780.90
  4. Step 4: Simplify right side
    5,728.62x = 15,303,523.03
  5. Step 5: Solve for x
    x = 15,303,523.03/5,728.62
  6. Step 6: Final answer
    x = 2,671.42

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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.