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Finding the Fourth Proportional to 22,486.16, 31,029.54 and 13,536.56

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Solution

The fourth proportional to 22,486.16, 31,029.54 and 13,536.56 is: 18,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.16 : 31,029.54 = 13,536.56 : x
  2. Step 2: Convert to fraction form
    22,486.16/31,029.54 = 13,536.56/x
  3. Step 3: Cross multiply
    22,486.16x = 31,029.54 × 13,536.56
  4. Step 4: Simplify right side
    22,486.16x = 420,033,229.98
  5. Step 5: Solve for x
    x = 420,033,229.98/22,486.16
  6. Step 6: Final answer
    x = 18,679.63

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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.