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Finding the Fourth Proportional to 15,169.91, 20,928.46 and 9,199.40

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Solution

The fourth proportional to 15,169.91, 20,928.46 and 9,199.40 is: 12,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,169.91 : 20,928.46 = 9,199.40 : x
  2. Step 2: Convert to fraction form
    15,169.91/20,928.46 = 9,199.40/x
  3. Step 3: Cross multiply
    15,169.91x = 20,928.46 × 9,199.40
  4. Step 4: Simplify right side
    15,169.91x = 192,529,228.93
  5. Step 5: Solve for x
    x = 192,529,228.93/15,169.91
  6. Step 6: Final answer
    x = 12,691.52

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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.