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Finding the Fourth Proportional to 22,442.90, 30,971.19 and 13,016.92

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Solution

The fourth proportional to 22,442.90, 30,971.19 and 13,016.92 is: 17,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.90 : 30,971.19 = 13,016.92 : x
  2. Step 2: Convert to fraction form
    22,442.90/30,971.19 = 13,016.92/x
  3. Step 3: Cross multiply
    22,442.90x = 30,971.19 × 13,016.92
  4. Step 4: Simplify right side
    22,442.90x = 403,149,502.53
  5. Step 5: Solve for x
    x = 403,149,502.53/22,442.90
  6. Step 6: Final answer
    x = 17,963.34

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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.