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Finding the Fourth Proportional to 25,905.76, 38,864.14 and 8,374.25

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Solution

The fourth proportional to 25,905.76, 38,864.14 and 8,374.25 is: 12,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,905.76 : 38,864.14 = 8,374.25 : x
  2. Step 2: Convert to fraction form
    25,905.76/38,864.14 = 8,374.25/x
  3. Step 3: Cross multiply
    25,905.76x = 38,864.14 × 8,374.25
  4. Step 4: Simplify right side
    25,905.76x = 325,458,100.62
  5. Step 5: Solve for x
    x = 325,458,100.62/25,905.76
  6. Step 6: Final answer
    x = 12,563.16

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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.