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Finding the Fourth Proportional to 2,774.34, 4,177.68 and 2,049

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Solution

The fourth proportional to 2,774.34, 4,177.68 and 2,049 is: 3,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.34 : 4,177.68 = 2,049 : x
  2. Step 2: Convert to fraction form
    2,774.34/4,177.68 = 2,049/x
  3. Step 3: Cross multiply
    2,774.34x = 4,177.68 × 2,049
  4. Step 4: Simplify right side
    2,774.34x = 8,560,066.32
  5. Step 5: Solve for x
    x = 8,560,066.32/2,774.34
  6. Step 6: Final answer
    x = 3,085.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.