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Finding the Fourth Proportional to 11,831.78, 17,732.59 and 6,287.78

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Solution

The fourth proportional to 11,831.78, 17,732.59 and 6,287.78 is: 9,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.78 : 17,732.59 = 6,287.78 : x
  2. Step 2: Convert to fraction form
    11,831.78/17,732.59 = 6,287.78/x
  3. Step 3: Cross multiply
    11,831.78x = 17,732.59 × 6,287.78
  4. Step 4: Simplify right side
    11,831.78x = 111,498,504.65
  5. Step 5: Solve for x
    x = 111,498,504.65/11,831.78
  6. Step 6: Final answer
    x = 9,423.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.