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Finding the Fourth Proportional to 22,254.88, 30,713.16 and 12,823.28

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Solution

The fourth proportional to 22,254.88, 30,713.16 and 12,823.28 is: 17,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,254.88 : 30,713.16 = 12,823.28 : x
  2. Step 2: Convert to fraction form
    22,254.88/30,713.16 = 12,823.28/x
  3. Step 3: Cross multiply
    22,254.88x = 30,713.16 × 12,823.28
  4. Step 4: Simplify right side
    22,254.88x = 393,843,450.36
  5. Step 5: Solve for x
    x = 393,843,450.36/22,254.88
  6. Step 6: Final answer
    x = 17,696.95

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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.