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Finding the Fourth Proportional to 8,266, 11,407.12 and 4,540

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Solution

The fourth proportional to 8,266, 11,407.12 and 4,540 is: 6,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266 : 11,407.12 = 4,540 : x
  2. Step 2: Convert to fraction form
    8,266/11,407.12 = 4,540/x
  3. Step 3: Cross multiply
    8,266x = 11,407.12 × 4,540
  4. Step 4: Simplify right side
    8,266x = 51,788,324.80
  5. Step 5: Solve for x
    x = 51,788,324.80/8,266
  6. Step 6: Final answer
    x = 6,265.22

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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.