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Finding the Fourth Proportional to 12,344.14, 18,503.90 and 7,964.67

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Solution

The fourth proportional to 12,344.14, 18,503.90 and 7,964.67 is: 11,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.14 : 18,503.90 = 7,964.67 : x
  2. Step 2: Convert to fraction form
    12,344.14/18,503.90 = 7,964.67/x
  3. Step 3: Cross multiply
    12,344.14x = 18,503.90 × 7,964.67
  4. Step 4: Simplify right side
    12,344.14x = 147,377,417.39
  5. Step 5: Solve for x
    x = 147,377,417.39/12,344.14
  6. Step 6: Final answer
    x = 11,939.06

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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.