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Finding the Fourth Proportional to 25,858, 38,787.30 and 8,327.80

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Solution

The fourth proportional to 25,858, 38,787.30 and 8,327.80 is: 12,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858 : 38,787.30 = 8,327.80 : x
  2. Step 2: Convert to fraction form
    25,858/38,787.30 = 8,327.80/x
  3. Step 3: Cross multiply
    25,858x = 38,787.30 × 8,327.80
  4. Step 4: Simplify right side
    25,858x = 323,012,876.94
  5. Step 5: Solve for x
    x = 323,012,876.94/25,858
  6. Step 6: Final answer
    x = 12,491.80

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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.