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Finding the Fourth Proportional to 13,969.92, 19,286.88 and 9,197.52

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Solution

The fourth proportional to 13,969.92, 19,286.88 and 9,197.52 is: 12,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.92 : 19,286.88 = 9,197.52 : x
  2. Step 2: Convert to fraction form
    13,969.92/19,286.88 = 9,197.52/x
  3. Step 3: Cross multiply
    13,969.92x = 19,286.88 × 9,197.52
  4. Step 4: Simplify right side
    13,969.92x = 177,391,464.54
  5. Step 5: Solve for x
    x = 177,391,464.54/13,969.92
  6. Step 6: Final answer
    x = 12,698.10

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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.