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Finding the Fourth Proportional to 9,250.20, 13,804.13 and 8,266.02

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Solution

The fourth proportional to 9,250.20, 13,804.13 and 8,266.02 is: 12,335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.20 : 13,804.13 = 8,266.02 : x
  2. Step 2: Convert to fraction form
    9,250.20/13,804.13 = 8,266.02/x
  3. Step 3: Cross multiply
    9,250.20x = 13,804.13 × 8,266.02
  4. Step 4: Simplify right side
    9,250.20x = 114,105,173.33
  5. Step 5: Solve for x
    x = 114,105,173.33/9,250.20
  6. Step 6: Final answer
    x = 12,335.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.