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Finding the Fourth Proportional to 8,153.72, 11,167.82 and 7,674.97

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Solution

The fourth proportional to 8,153.72, 11,167.82 and 7,674.97 is: 10,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.72 : 11,167.82 = 7,674.97 : x
  2. Step 2: Convert to fraction form
    8,153.72/11,167.82 = 7,674.97/x
  3. Step 3: Cross multiply
    8,153.72x = 11,167.82 × 7,674.97
  4. Step 4: Simplify right side
    8,153.72x = 85,712,677.68
  5. Step 5: Solve for x
    x = 85,712,677.68/8,153.72
  6. Step 6: Final answer
    x = 10,512.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.