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Finding the Fourth Proportional to 9,906.32, 13,668 and 6,127.67

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Solution

The fourth proportional to 9,906.32, 13,668 and 6,127.67 is: 8,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.32 : 13,668 = 6,127.67 : x
  2. Step 2: Convert to fraction form
    9,906.32/13,668 = 6,127.67/x
  3. Step 3: Cross multiply
    9,906.32x = 13,668 × 6,127.67
  4. Step 4: Simplify right side
    9,906.32x = 83,752,993.56
  5. Step 5: Solve for x
    x = 83,752,993.56/9,906.32
  6. Step 6: Final answer
    x = 8,454.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.