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Finding the Fourth Proportional to 12,186.74, 18,280.74 and 3,422.33

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Solution

The fourth proportional to 12,186.74, 18,280.74 and 3,422.33 is: 5,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.74 : 18,280.74 = 3,422.33 : x
  2. Step 2: Convert to fraction form
    12,186.74/18,280.74 = 3,422.33/x
  3. Step 3: Cross multiply
    12,186.74x = 18,280.74 × 3,422.33
  4. Step 4: Simplify right side
    12,186.74x = 62,562,633.52
  5. Step 5: Solve for x
    x = 62,562,633.52/12,186.74
  6. Step 6: Final answer
    x = 5,133.67

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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.