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Finding the Fourth Proportional to 12,831.11, 19,224.03 and 11,437.91

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Solution

The fourth proportional to 12,831.11, 19,224.03 and 11,437.91 is: 17,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.11 : 19,224.03 = 11,437.91 : x
  2. Step 2: Convert to fraction form
    12,831.11/19,224.03 = 11,437.91/x
  3. Step 3: Cross multiply
    12,831.11x = 19,224.03 × 11,437.91
  4. Step 4: Simplify right side
    12,831.11x = 219,882,743.84
  5. Step 5: Solve for x
    x = 219,882,743.84/12,831.11
  6. Step 6: Final answer
    x = 17,136.69

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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.