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Finding the Fourth Proportional to 2,008.95, 2,773.29 and 1,511.78

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Solution

The fourth proportional to 2,008.95, 2,773.29 and 1,511.78 is: 2,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.95 : 2,773.29 = 1,511.78 : x
  2. Step 2: Convert to fraction form
    2,008.95/2,773.29 = 1,511.78/x
  3. Step 3: Cross multiply
    2,008.95x = 2,773.29 × 1,511.78
  4. Step 4: Simplify right side
    2,008.95x = 4,192,590.49
  5. Step 5: Solve for x
    x = 4,192,590.49/2,008.95
  6. Step 6: Final answer
    x = 2,086.96

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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.