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Finding the Fourth Proportional to 2,563.99, 3,841.12 and 1,979.98

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Solution

The fourth proportional to 2,563.99, 3,841.12 and 1,979.98 is: 2,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.99 : 3,841.12 = 1,979.98 : x
  2. Step 2: Convert to fraction form
    2,563.99/3,841.12 = 1,979.98/x
  3. Step 3: Cross multiply
    2,563.99x = 3,841.12 × 1,979.98
  4. Step 4: Simplify right side
    2,563.99x = 7,605,340.78
  5. Step 5: Solve for x
    x = 7,605,340.78/2,563.99
  6. Step 6: Final answer
    x = 2,966.21

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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.