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Finding the Fourth Proportional to 25,101.78, 37,659 and 17,720.64

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Solution

The fourth proportional to 25,101.78, 37,659 and 17,720.64 is: 26,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.78 : 37,659 = 17,720.64 : x
  2. Step 2: Convert to fraction form
    25,101.78/37,659 = 17,720.64/x
  3. Step 3: Cross multiply
    25,101.78x = 37,659 × 17,720.64
  4. Step 4: Simplify right side
    25,101.78x = 667,341,581.76
  5. Step 5: Solve for x
    x = 667,341,581.76/25,101.78
  6. Step 6: Final answer
    x = 26,585.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.