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Finding the Fourth Proportional to 9,249.71, 12,763.11 and 5,270.90

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Solution

The fourth proportional to 9,249.71, 12,763.11 and 5,270.90 is: 7,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.71 : 12,763.11 = 5,270.90 : x
  2. Step 2: Convert to fraction form
    9,249.71/12,763.11 = 5,270.90/x
  3. Step 3: Cross multiply
    9,249.71x = 12,763.11 × 5,270.90
  4. Step 4: Simplify right side
    9,249.71x = 67,273,076.50
  5. Step 5: Solve for x
    x = 67,273,076.50/9,249.71
  6. Step 6: Final answer
    x = 7,272.99

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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.