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Finding the Fourth Proportional to 22,638.32, 31,232.31 and 16,684.19

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Solution

The fourth proportional to 22,638.32, 31,232.31 and 16,684.19 is: 23,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.32 : 31,232.31 = 16,684.19 : x
  2. Step 2: Convert to fraction form
    22,638.32/31,232.31 = 16,684.19/x
  3. Step 3: Cross multiply
    22,638.32x = 31,232.31 × 16,684.19
  4. Step 4: Simplify right side
    22,638.32x = 521,085,794.18
  5. Step 5: Solve for x
    x = 521,085,794.18/22,638.32
  6. Step 6: Final answer
    x = 23,017.87

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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.