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Finding the Fourth Proportional to 13,800, 19,042.80 and 7,831.92

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Solution

The fourth proportional to 13,800, 19,042.80 and 7,831.92 is: 10,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800 : 19,042.80 = 7,831.92 : x
  2. Step 2: Convert to fraction form
    13,800/19,042.80 = 7,831.92/x
  3. Step 3: Cross multiply
    13,800x = 19,042.80 × 7,831.92
  4. Step 4: Simplify right side
    13,800x = 149,141,686.18
  5. Step 5: Solve for x
    x = 149,141,686.18/13,800
  6. Step 6: Final answer
    x = 10,807.37

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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.