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Finding the Fourth Proportional to 22,623.45, 31,219.76 and 12,414.45

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Solution

The fourth proportional to 22,623.45, 31,219.76 and 12,414.45 is: 17,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.45 : 31,219.76 = 12,414.45 : x
  2. Step 2: Convert to fraction form
    22,623.45/31,219.76 = 12,414.45/x
  3. Step 3: Cross multiply
    22,623.45x = 31,219.76 × 12,414.45
  4. Step 4: Simplify right side
    22,623.45x = 387,575,962.40
  5. Step 5: Solve for x
    x = 387,575,962.40/22,623.45
  6. Step 6: Final answer
    x = 17,131.61

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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.