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Finding the Fourth Proportional to 12,616.14, 18,937.56 and 7,074.12

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Solution

The fourth proportional to 12,616.14, 18,937.56 and 7,074.12 is: 10,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.14 : 18,937.56 = 7,074.12 : x
  2. Step 2: Convert to fraction form
    12,616.14/18,937.56 = 7,074.12/x
  3. Step 3: Cross multiply
    12,616.14x = 18,937.56 × 7,074.12
  4. Step 4: Simplify right side
    12,616.14x = 133,966,571.95
  5. Step 5: Solve for x
    x = 133,966,571.95/12,616.14
  6. Step 6: Final answer
    x = 10,618.67

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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.