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Finding the Fourth Proportional to 5,321.59, 7,981.89 and 2,509.78

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Solution

The fourth proportional to 5,321.59, 7,981.89 and 2,509.78 is: 3,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.59 : 7,981.89 = 2,509.78 : x
  2. Step 2: Convert to fraction form
    5,321.59/7,981.89 = 2,509.78/x
  3. Step 3: Cross multiply
    5,321.59x = 7,981.89 × 2,509.78
  4. Step 4: Simplify right side
    5,321.59x = 20,032,735.43
  5. Step 5: Solve for x
    x = 20,032,735.43/5,321.59
  6. Step 6: Final answer
    x = 3,764.43

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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.