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Finding the Fourth Proportional to 25,415.82, 38,112.93 and 10,412.61

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Solution

The fourth proportional to 25,415.82, 38,112.93 and 10,412.61 is: 15,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,415.82 : 38,112.93 = 10,412.61 : x
  2. Step 2: Convert to fraction form
    25,415.82/38,112.93 = 10,412.61/x
  3. Step 3: Cross multiply
    25,415.82x = 38,112.93 × 10,412.61
  4. Step 4: Simplify right side
    25,415.82x = 396,855,076.05
  5. Step 5: Solve for x
    x = 396,855,076.05/25,415.82
  6. Step 6: Final answer
    x = 15,614.49

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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.