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Finding the Fourth Proportional to 12,523.68, 18,770.94 and 7,318.56

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Solution

The fourth proportional to 12,523.68, 18,770.94 and 7,318.56 is: 10,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.68 : 18,770.94 = 7,318.56 : x
  2. Step 2: Convert to fraction form
    12,523.68/18,770.94 = 7,318.56/x
  3. Step 3: Cross multiply
    12,523.68x = 18,770.94 × 7,318.56
  4. Step 4: Simplify right side
    12,523.68x = 137,376,250.65
  5. Step 5: Solve for x
    x = 137,376,250.65/12,523.68
  6. Step 6: Final answer
    x = 10,969.32

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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.