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Finding the Fourth Proportional to 30,831.54, 42,565.83 and 20,239.74

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Solution

The fourth proportional to 30,831.54, 42,565.83 and 20,239.74 is: 27,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.54 : 42,565.83 = 20,239.74 : x
  2. Step 2: Convert to fraction form
    30,831.54/42,565.83 = 20,239.74/x
  3. Step 3: Cross multiply
    30,831.54x = 42,565.83 × 20,239.74
  4. Step 4: Simplify right side
    30,831.54x = 861,521,332.08
  5. Step 5: Solve for x
    x = 861,521,332.08/30,831.54
  6. Step 6: Final answer
    x = 27,942.86

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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.