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Finding the Fourth Proportional to 22,522.13, 31,077.84 and 12,449.21

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Solution

The fourth proportional to 22,522.13, 31,077.84 and 12,449.21 is: 17,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.13 : 31,077.84 = 12,449.21 : x
  2. Step 2: Convert to fraction form
    22,522.13/31,077.84 = 12,449.21/x
  3. Step 3: Cross multiply
    22,522.13x = 31,077.84 × 12,449.21
  4. Step 4: Simplify right side
    22,522.13x = 386,894,401.12
  5. Step 5: Solve for x
    x = 386,894,401.12/22,522.13
  6. Step 6: Final answer
    x = 17,178.41

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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.