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Finding the Fourth Proportional to 18,694, 25,796.80 and 11,140.16

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Solution

The fourth proportional to 18,694, 25,796.80 and 11,140.16 is: 15,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,694 : 25,796.80 = 11,140.16 : x
  2. Step 2: Convert to fraction form
    18,694/25,796.80 = 11,140.16/x
  3. Step 3: Cross multiply
    18,694x = 25,796.80 × 11,140.16
  4. Step 4: Simplify right side
    18,694x = 287,380,479.49
  5. Step 5: Solve for x
    x = 287,380,479.49/18,694
  6. Step 6: Final answer
    x = 15,372.87

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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.