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Finding the Fourth Proportional to 9,242.28, 12,747 and 8,181.12

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Solution

The fourth proportional to 9,242.28, 12,747 and 8,181.12 is: 11,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.28 : 12,747 = 8,181.12 : x
  2. Step 2: Convert to fraction form
    9,242.28/12,747 = 8,181.12/x
  3. Step 3: Cross multiply
    9,242.28x = 12,747 × 8,181.12
  4. Step 4: Simplify right side
    9,242.28x = 104,284,736.64
  5. Step 5: Solve for x
    x = 104,284,736.64/9,242.28
  6. Step 6: Final answer
    x = 11,283.44

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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.