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Finding the Fourth Proportional to 7,874.25, 11,813.00 and 3,257.25

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Solution

The fourth proportional to 7,874.25, 11,813.00 and 3,257.25 is: 4,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.25 : 11,813.00 = 3,257.25 : x
  2. Step 2: Convert to fraction form
    7,874.25/11,813.00 = 3,257.25/x
  3. Step 3: Cross multiply
    7,874.25x = 11,813.00 × 3,257.25
  4. Step 4: Simplify right side
    7,874.25x = 38,477,877.96
  5. Step 5: Solve for x
    x = 38,477,877.96/7,874.25
  6. Step 6: Final answer
    x = 4,886.55

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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.