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Finding the Fourth Proportional to 25,487.88, 38,231.82 and 9,905.50

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Solution

The fourth proportional to 25,487.88, 38,231.82 and 9,905.50 is: 14,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,487.88 : 38,231.82 = 9,905.50 : x
  2. Step 2: Convert to fraction form
    25,487.88/38,231.82 = 9,905.50/x
  3. Step 3: Cross multiply
    25,487.88x = 38,231.82 × 9,905.50
  4. Step 4: Simplify right side
    25,487.88x = 378,705,293.01
  5. Step 5: Solve for x
    x = 378,705,293.01/25,487.88
  6. Step 6: Final answer
    x = 14,858.25

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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.