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Finding the Fourth Proportional to 27,818, 38,388.84 and 16,640

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Solution

The fourth proportional to 27,818, 38,388.84 and 16,640 is: 22,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818 : 38,388.84 = 16,640 : x
  2. Step 2: Convert to fraction form
    27,818/38,388.84 = 16,640/x
  3. Step 3: Cross multiply
    27,818x = 38,388.84 × 16,640
  4. Step 4: Simplify right side
    27,818x = 638,790,297.60
  5. Step 5: Solve for x
    x = 638,790,297.60/27,818
  6. Step 6: Final answer
    x = 22,963.20

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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.