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Finding the Fourth Proportional to 5,911.80, 8,154.78 and 3,787.80

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Solution

The fourth proportional to 5,911.80, 8,154.78 and 3,787.80 is: 5,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.80 : 8,154.78 = 3,787.80 : x
  2. Step 2: Convert to fraction form
    5,911.80/8,154.78 = 3,787.80/x
  3. Step 3: Cross multiply
    5,911.80x = 8,154.78 × 3,787.80
  4. Step 4: Simplify right side
    5,911.80x = 30,888,675.68
  5. Step 5: Solve for x
    x = 30,888,675.68/5,911.80
  6. Step 6: Final answer
    x = 5,224.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.