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Finding the Fourth Proportional to 25,638, 35,380.44 and 13,862

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Solution

The fourth proportional to 25,638, 35,380.44 and 13,862 is: 19,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638 : 35,380.44 = 13,862 : x
  2. Step 2: Convert to fraction form
    25,638/35,380.44 = 13,862/x
  3. Step 3: Cross multiply
    25,638x = 35,380.44 × 13,862
  4. Step 4: Simplify right side
    25,638x = 490,443,659.28
  5. Step 5: Solve for x
    x = 490,443,659.28/25,638
  6. Step 6: Final answer
    x = 19,129.56

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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.