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Finding the Fourth Proportional to 8,768, 13,158.48 and 4,151

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Solution

The fourth proportional to 8,768, 13,158.48 and 4,151 is: 6,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768 : 13,158.48 = 4,151 : x
  2. Step 2: Convert to fraction form
    8,768/13,158.48 = 4,151/x
  3. Step 3: Cross multiply
    8,768x = 13,158.48 × 4,151
  4. Step 4: Simplify right side
    8,768x = 54,620,850.48
  5. Step 5: Solve for x
    x = 54,620,850.48/8,768
  6. Step 6: Final answer
    x = 6,229.57

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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.