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Finding the Fourth Proportional to 9,266.85, 12,808.25 and 8,197.05

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Solution

The fourth proportional to 9,266.85, 12,808.25 and 8,197.05 is: 11,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.85 : 12,808.25 = 8,197.05 : x
  2. Step 2: Convert to fraction form
    9,266.85/12,808.25 = 8,197.05/x
  3. Step 3: Cross multiply
    9,266.85x = 12,808.25 × 8,197.05
  4. Step 4: Simplify right side
    9,266.85x = 104,989,865.66
  5. Step 5: Solve for x
    x = 104,989,865.66/9,266.85
  6. Step 6: Final answer
    x = 11,329.62

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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.