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Finding the Fourth Proportional to 2,805.80, 3,871.92 and 1,563.80

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Solution

The fourth proportional to 2,805.80, 3,871.92 and 1,563.80 is: 2,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.80 : 3,871.92 = 1,563.80 : x
  2. Step 2: Convert to fraction form
    2,805.80/3,871.92 = 1,563.80/x
  3. Step 3: Cross multiply
    2,805.80x = 3,871.92 × 1,563.80
  4. Step 4: Simplify right side
    2,805.80x = 6,054,908.50
  5. Step 5: Solve for x
    x = 6,054,908.50/2,805.80
  6. Step 6: Final answer
    x = 2,158.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.