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Finding the Fourth Proportional to 5,310.80, 7,968.30 and 2,024.78

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Solution

The fourth proportional to 5,310.80, 7,968.30 and 2,024.78 is: 3,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.80 : 7,968.30 = 2,024.78 : x
  2. Step 2: Convert to fraction form
    5,310.80/7,968.30 = 2,024.78/x
  3. Step 3: Cross multiply
    5,310.80x = 7,968.30 × 2,024.78
  4. Step 4: Simplify right side
    5,310.80x = 16,134,054.47
  5. Step 5: Solve for x
    x = 16,134,054.47/5,310.80
  6. Step 6: Final answer
    x = 3,037.97

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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.