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Finding the Fourth Proportional to 5,777.97, 7,965.86 and 3,787.80

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Solution

The fourth proportional to 5,777.97, 7,965.86 and 3,787.80 is: 5,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.97 : 7,965.86 = 3,787.80 : x
  2. Step 2: Convert to fraction form
    5,777.97/7,965.86 = 3,787.80/x
  3. Step 3: Cross multiply
    5,777.97x = 7,965.86 × 3,787.80
  4. Step 4: Simplify right side
    5,777.97x = 30,173,065.57
  5. Step 5: Solve for x
    x = 30,173,065.57/5,777.97
  6. Step 6: Final answer
    x = 5,222.09

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1.5x scale

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.