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Finding the Fourth Proportional to 23,831.58, 32,886.15 and 13,220.58

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Solution

The fourth proportional to 23,831.58, 32,886.15 and 13,220.58 is: 18,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.58 : 32,886.15 = 13,220.58 : x
  2. Step 2: Convert to fraction form
    23,831.58/32,886.15 = 13,220.58/x
  3. Step 3: Cross multiply
    23,831.58x = 32,886.15 × 13,220.58
  4. Step 4: Simplify right side
    23,831.58x = 434,773,976.97
  5. Step 5: Solve for x
    x = 434,773,976.97/23,831.58
  6. Step 6: Final answer
    x = 18,243.61

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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.