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Finding the Fourth Proportional to 18,813, 25,965.99 and 11,261.02

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Solution

The fourth proportional to 18,813, 25,965.99 and 11,261.02 is: 15,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,813 : 25,965.99 = 11,261.02 : x
  2. Step 2: Convert to fraction form
    18,813/25,965.99 = 11,261.02/x
  3. Step 3: Cross multiply
    18,813x = 25,965.99 × 11,261.02
  4. Step 4: Simplify right side
    18,813x = 292,403,467.79
  5. Step 5: Solve for x
    x = 292,403,467.79/18,813
  6. Step 6: Final answer
    x = 15,542.63

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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.