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Finding the Fourth Proportional to 7,854.50, 11,787.16 and 3,237.50

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Solution

The fourth proportional to 7,854.50, 11,787.16 and 3,237.50 is: 4,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.50 : 11,787.16 = 3,237.50 : x
  2. Step 2: Convert to fraction form
    7,854.50/11,787.16 = 3,237.50/x
  3. Step 3: Cross multiply
    7,854.50x = 11,787.16 × 3,237.50
  4. Step 4: Simplify right side
    7,854.50x = 38,160,930.50
  5. Step 5: Solve for x
    x = 38,160,930.50/7,854.50
  6. Step 6: Final answer
    x = 4,858.48

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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.