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Finding the Fourth Proportional to 22,032.81, 30,409.02 and 13,085.15

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Solution

The fourth proportional to 22,032.81, 30,409.02 and 13,085.15 is: 18,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032.81 : 30,409.02 = 13,085.15 : x
  2. Step 2: Convert to fraction form
    22,032.81/30,409.02 = 13,085.15/x
  3. Step 3: Cross multiply
    22,032.81x = 30,409.02 × 13,085.15
  4. Step 4: Simplify right side
    22,032.81x = 397,906,436.01
  5. Step 5: Solve for x
    x = 397,906,436.01/22,032.81
  6. Step 6: Final answer
    x = 18,059.72

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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.