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Finding the Fourth Proportional to 14,728.44, 20,311.32 and 9,414

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Solution

The fourth proportional to 14,728.44, 20,311.32 and 9,414 is: 12,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.44 : 20,311.32 = 9,414 : x
  2. Step 2: Convert to fraction form
    14,728.44/20,311.32 = 9,414/x
  3. Step 3: Cross multiply
    14,728.44x = 20,311.32 × 9,414
  4. Step 4: Simplify right side
    14,728.44x = 191,210,766.48
  5. Step 5: Solve for x
    x = 191,210,766.48/14,728.44
  6. Step 6: Final answer
    x = 12,982.42

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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.