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Finding the Fourth Proportional to 18,655.68, 25,744.68 and 10,272

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Solution

The fourth proportional to 18,655.68, 25,744.68 and 10,272 is: 14,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,655.68 : 25,744.68 = 10,272 : x
  2. Step 2: Convert to fraction form
    18,655.68/25,744.68 = 10,272/x
  3. Step 3: Cross multiply
    18,655.68x = 25,744.68 × 10,272
  4. Step 4: Simplify right side
    18,655.68x = 264,449,352.96
  5. Step 5: Solve for x
    x = 264,449,352.96/18,655.68
  6. Step 6: Final answer
    x = 14,175.27

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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.