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Finding the Fourth Proportional to 25,857.48, 38,787.76 and 8,091.46

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Solution

The fourth proportional to 25,857.48, 38,787.76 and 8,091.46 is: 12,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.48 : 38,787.76 = 8,091.46 : x
  2. Step 2: Convert to fraction form
    25,857.48/38,787.76 = 8,091.46/x
  3. Step 3: Cross multiply
    25,857.48x = 38,787.76 × 8,091.46
  4. Step 4: Simplify right side
    25,857.48x = 313,849,608.53
  5. Step 5: Solve for x
    x = 313,849,608.53/25,857.48
  6. Step 6: Final answer
    x = 12,137.67

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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.