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Finding the Fourth Proportional to 9,282.38, 12,811.73 and 7,261.79

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Solution

The fourth proportional to 9,282.38, 12,811.73 and 7,261.79 is: 10,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.38 : 12,811.73 = 7,261.79 : x
  2. Step 2: Convert to fraction form
    9,282.38/12,811.73 = 7,261.79/x
  3. Step 3: Cross multiply
    9,282.38x = 12,811.73 × 7,261.79
  4. Step 4: Simplify right side
    9,282.38x = 93,035,992.43
  5. Step 5: Solve for x
    x = 93,035,992.43/9,282.38
  6. Step 6: Final answer
    x = 10,022.87

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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.