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Finding the Fourth Proportional to 4,693.78, 7,034.09 and 3,649

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Solution

The fourth proportional to 4,693.78, 7,034.09 and 3,649 is: 5,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.78 : 7,034.09 = 3,649 : x
  2. Step 2: Convert to fraction form
    4,693.78/7,034.09 = 3,649/x
  3. Step 3: Cross multiply
    4,693.78x = 7,034.09 × 3,649
  4. Step 4: Simplify right side
    4,693.78x = 25,667,394.41
  5. Step 5: Solve for x
    x = 25,667,394.41/4,693.78
  6. Step 6: Final answer
    x = 5,468.38

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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.