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Finding the Fourth Proportional to 3,774.34, 5,209.66 and 2,282

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Solution

The fourth proportional to 3,774.34, 5,209.66 and 2,282 is: 3,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.34 : 5,209.66 = 2,282 : x
  2. Step 2: Convert to fraction form
    3,774.34/5,209.66 = 2,282/x
  3. Step 3: Cross multiply
    3,774.34x = 5,209.66 × 2,282
  4. Step 4: Simplify right side
    3,774.34x = 11,888,444.12
  5. Step 5: Solve for x
    x = 11,888,444.12/3,774.34
  6. Step 6: Final answer
    x = 3,149.81

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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.