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Finding the Fourth Proportional to 22,708.40, 31,334.18 and 13,016.48

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Solution

The fourth proportional to 22,708.40, 31,334.18 and 13,016.48 is: 17,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.40 : 31,334.18 = 13,016.48 : x
  2. Step 2: Convert to fraction form
    22,708.40/31,334.18 = 13,016.48/x
  3. Step 3: Cross multiply
    22,708.40x = 31,334.18 × 13,016.48
  4. Step 4: Simplify right side
    22,708.40x = 407,860,505.53
  5. Step 5: Solve for x
    x = 407,860,505.53/22,708.40
  6. Step 6: Final answer
    x = 17,960.78

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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.