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Finding the Fourth Proportional to 22,616.54, 31,212.74 and 12,548.22

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Solution

The fourth proportional to 22,616.54, 31,212.74 and 12,548.22 is: 17,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.54 : 31,212.74 = 12,548.22 : x
  2. Step 2: Convert to fraction form
    22,616.54/31,212.74 = 12,548.22/x
  3. Step 3: Cross multiply
    22,616.54x = 31,212.74 × 12,548.22
  4. Step 4: Simplify right side
    22,616.54x = 391,664,328.32
  5. Step 5: Solve for x
    x = 391,664,328.32/22,616.54
  6. Step 6: Final answer
    x = 17,317.61

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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.