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Finding the Fourth Proportional to 22,831.94, 31,507.97 and 12,760.37

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Solution

The fourth proportional to 22,831.94, 31,507.97 and 12,760.37 is: 17,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.94 : 31,507.97 = 12,760.37 : x
  2. Step 2: Convert to fraction form
    22,831.94/31,507.97 = 12,760.37/x
  3. Step 3: Cross multiply
    22,831.94x = 31,507.97 × 12,760.37
  4. Step 4: Simplify right side
    22,831.94x = 402,053,370.12
  5. Step 5: Solve for x
    x = 402,053,370.12/22,831.94
  6. Step 6: Final answer
    x = 17,609.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.