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Finding the Fourth Proportional to 21,774, 30,048.16 and 12,343.44

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Solution

The fourth proportional to 21,774, 30,048.16 and 12,343.44 is: 17,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774 : 30,048.16 = 12,343.44 : x
  2. Step 2: Convert to fraction form
    21,774/30,048.16 = 12,343.44/x
  3. Step 3: Cross multiply
    21,774x = 30,048.16 × 12,343.44
  4. Step 4: Simplify right side
    21,774x = 370,897,660.07
  5. Step 5: Solve for x
    x = 370,897,660.07/21,774
  6. Step 6: Final answer
    x = 17,033.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.