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Finding the Fourth Proportional to 7,078, 10,616.58 and 2,147.68

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Solution

The fourth proportional to 7,078, 10,616.58 and 2,147.68 is: 3,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078 : 10,616.58 = 2,147.68 : x
  2. Step 2: Convert to fraction form
    7,078/10,616.58 = 2,147.68/x
  3. Step 3: Cross multiply
    7,078x = 10,616.58 × 2,147.68
  4. Step 4: Simplify right side
    7,078x = 22,801,016.53
  5. Step 5: Solve for x
    x = 22,801,016.53/7,078
  6. Step 6: Final answer
    x = 3,221.39

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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.