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Finding the Fourth Proportional to 12,876.40, 17,771.22 and 8,161.12

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Solution

The fourth proportional to 12,876.40, 17,771.22 and 8,161.12 is: 11,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.40 : 17,771.22 = 8,161.12 : x
  2. Step 2: Convert to fraction form
    12,876.40/17,771.22 = 8,161.12/x
  3. Step 3: Cross multiply
    12,876.40x = 17,771.22 × 8,161.12
  4. Step 4: Simplify right side
    12,876.40x = 145,033,058.97
  5. Step 5: Solve for x
    x = 145,033,058.97/12,876.40
  6. Step 6: Final answer
    x = 11,263.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.