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Finding the Fourth Proportional to 7,854.75, 11,787.53 and 3,237.75

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Solution

The fourth proportional to 7,854.75, 11,787.53 and 3,237.75 is: 4,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.75 : 11,787.53 = 3,237.75 : x
  2. Step 2: Convert to fraction form
    7,854.75/11,787.53 = 3,237.75/x
  3. Step 3: Cross multiply
    7,854.75x = 11,787.53 × 3,237.75
  4. Step 4: Simplify right side
    7,854.75x = 38,165,059.07
  5. Step 5: Solve for x
    x = 38,165,059.07/7,854.75
  6. Step 6: Final answer
    x = 4,858.85

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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.