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Finding the Fourth Proportional to 2,008.80, 2,764.80 and 1,745.28

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Solution

The fourth proportional to 2,008.80, 2,764.80 and 1,745.28 is: 2,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.80 : 2,764.80 = 1,745.28 : x
  2. Step 2: Convert to fraction form
    2,008.80/2,764.80 = 1,745.28/x
  3. Step 3: Cross multiply
    2,008.80x = 2,764.80 × 1,745.28
  4. Step 4: Simplify right side
    2,008.80x = 4,825,350.14
  5. Step 5: Solve for x
    x = 4,825,350.14/2,008.80
  6. Step 6: Final answer
    x = 2,402.11

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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.