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Finding the Fourth Proportional to 8,775, 12,131.10 and 8,407.80

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Solution

The fourth proportional to 8,775, 12,131.10 and 8,407.80 is: 11,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775 : 12,131.10 = 8,407.80 : x
  2. Step 2: Convert to fraction form
    8,775/12,131.10 = 8,407.80/x
  3. Step 3: Cross multiply
    8,775x = 12,131.10 × 8,407.80
  4. Step 4: Simplify right side
    8,775x = 101,995,862.58
  5. Step 5: Solve for x
    x = 101,995,862.58/8,775
  6. Step 6: Final answer
    x = 11,623.46

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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.