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Finding the Fourth Proportional to 25,675, 38,401.32 and 15,119.86

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Solution

The fourth proportional to 25,675, 38,401.32 and 15,119.86 is: 22,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675 : 38,401.32 = 15,119.86 : x
  2. Step 2: Convert to fraction form
    25,675/38,401.32 = 15,119.86/x
  3. Step 3: Cross multiply
    25,675x = 38,401.32 × 15,119.86
  4. Step 4: Simplify right side
    25,675x = 580,622,582.22
  5. Step 5: Solve for x
    x = 580,622,582.22/25,675
  6. Step 6: Final answer
    x = 22,614.32

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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.