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Finding the Fourth Proportional to 38,676, 53,370 and 21,908.64

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Solution

The fourth proportional to 38,676, 53,370 and 21,908.64 is: 30,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,676 : 53,370 = 21,908.64 : x
  2. Step 2: Convert to fraction form
    38,676/53,370 = 21,908.64/x
  3. Step 3: Cross multiply
    38,676x = 53,370 × 21,908.64
  4. Step 4: Simplify right side
    38,676x = 1,169,264,116.80
  5. Step 5: Solve for x
    x = 1,169,264,116.80/38,676
  6. Step 6: Final answer
    x = 30,232.29

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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.