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Finding the Fourth Proportional to 25,383.71, 38,077.49 and 7,855.31

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Solution

The fourth proportional to 25,383.71, 38,077.49 and 7,855.31 is: 11,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,383.71 : 38,077.49 = 7,855.31 : x
  2. Step 2: Convert to fraction form
    25,383.71/38,077.49 = 7,855.31/x
  3. Step 3: Cross multiply
    25,383.71x = 38,077.49 × 7,855.31
  4. Step 4: Simplify right side
    25,383.71x = 299,110,487.97
  5. Step 5: Solve for x
    x = 299,110,487.97/25,383.71
  6. Step 6: Final answer
    x = 11,783.56

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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.