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Finding the Fourth Proportional to 9,169.65, 12,660.44 and 6,780.15

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Solution

The fourth proportional to 9,169.65, 12,660.44 and 6,780.15 is: 9,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.65 : 12,660.44 = 6,780.15 : x
  2. Step 2: Convert to fraction form
    9,169.65/12,660.44 = 6,780.15/x
  3. Step 3: Cross multiply
    9,169.65x = 12,660.44 × 6,780.15
  4. Step 4: Simplify right side
    9,169.65x = 85,839,648.37
  5. Step 5: Solve for x
    x = 85,839,648.37/9,169.65
  6. Step 6: Final answer
    x = 9,361.28

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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.