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Finding the Fourth Proportional to 11,877, 16,393.38 and 6,841.80

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Solution

The fourth proportional to 11,877, 16,393.38 and 6,841.80 is: 9,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877 : 16,393.38 = 6,841.80 : x
  2. Step 2: Convert to fraction form
    11,877/16,393.38 = 6,841.80/x
  3. Step 3: Cross multiply
    11,877x = 16,393.38 × 6,841.80
  4. Step 4: Simplify right side
    11,877x = 112,160,227.28
  5. Step 5: Solve for x
    x = 112,160,227.28/11,877
  6. Step 6: Final answer
    x = 9,443.48

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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.