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Finding the Fourth Proportional to 12,642.75, 18,964.08 and 7,096.14

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Solution

The fourth proportional to 12,642.75, 18,964.08 and 7,096.14 is: 10,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.75 : 18,964.08 = 7,096.14 : x
  2. Step 2: Convert to fraction form
    12,642.75/18,964.08 = 7,096.14/x
  3. Step 3: Cross multiply
    12,642.75x = 18,964.08 × 7,096.14
  4. Step 4: Simplify right side
    12,642.75x = 134,571,766.65
  5. Step 5: Solve for x
    x = 134,571,766.65/12,642.75
  6. Step 6: Final answer
    x = 10,644.18

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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.