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Finding the Fourth Proportional to 22,831.61, 31,503.77 and 12,760.13

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Solution

The fourth proportional to 22,831.61, 31,503.77 and 12,760.13 is: 17,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.61 : 31,503.77 = 12,760.13 : x
  2. Step 2: Convert to fraction form
    22,831.61/31,503.77 = 12,760.13/x
  3. Step 3: Cross multiply
    22,831.61x = 31,503.77 × 12,760.13
  4. Step 4: Simplify right side
    22,831.61x = 401,992,317.33
  5. Step 5: Solve for x
    x = 401,992,317.33/22,831.61
  6. Step 6: Final answer
    x = 17,606.83

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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.