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Finding the Fourth Proportional to 11,911.86, 17,787.60 and 9,724.86

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Solution

The fourth proportional to 11,911.86, 17,787.60 and 9,724.86 is: 14,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.86 : 17,787.60 = 9,724.86 : x
  2. Step 2: Convert to fraction form
    11,911.86/17,787.60 = 9,724.86/x
  3. Step 3: Cross multiply
    11,911.86x = 17,787.60 × 9,724.86
  4. Step 4: Simplify right side
    11,911.86x = 172,981,919.74
  5. Step 5: Solve for x
    x = 172,981,919.74/11,911.86
  6. Step 6: Final answer
    x = 14,521.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.