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Finding the Fourth Proportional to 9,260.72, 13,906.20 and 7,809.20

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Solution

The fourth proportional to 9,260.72, 13,906.20 and 7,809.20 is: 11,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.72 : 13,906.20 = 7,809.20 : x
  2. Step 2: Convert to fraction form
    9,260.72/13,906.20 = 7,809.20/x
  3. Step 3: Cross multiply
    9,260.72x = 13,906.20 × 7,809.20
  4. Step 4: Simplify right side
    9,260.72x = 108,596,297.04
  5. Step 5: Solve for x
    x = 108,596,297.04/9,260.72
  6. Step 6: Final answer
    x = 11,726.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.