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Finding the Fourth Proportional to 25,787.67, 38,682.04 and 8,257.44

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Solution

The fourth proportional to 25,787.67, 38,682.04 and 8,257.44 is: 12,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,787.67 : 38,682.04 = 8,257.44 : x
  2. Step 2: Convert to fraction form
    25,787.67/38,682.04 = 8,257.44/x
  3. Step 3: Cross multiply
    25,787.67x = 38,682.04 × 8,257.44
  4. Step 4: Simplify right side
    25,787.67x = 319,414,779.76
  5. Step 5: Solve for x
    x = 319,414,779.76/25,787.67
  6. Step 6: Final answer
    x = 12,386.34

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1.5x scale

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.