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Finding the Fourth Proportional to 3,675.78, 5,512.86 and 1,454.76

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Solution

The fourth proportional to 3,675.78, 5,512.86 and 1,454.76 is: 2,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.78 : 5,512.86 = 1,454.76 : x
  2. Step 2: Convert to fraction form
    3,675.78/5,512.86 = 1,454.76/x
  3. Step 3: Cross multiply
    3,675.78x = 5,512.86 × 1,454.76
  4. Step 4: Simplify right side
    3,675.78x = 8,019,888.21
  5. Step 5: Solve for x
    x = 8,019,888.21/3,675.78
  6. Step 6: Final answer
    x = 2,181.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.