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Finding the Fourth Proportional to 5,940.75, 8,912.65 and 1,780.75

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Solution

The fourth proportional to 5,940.75, 8,912.65 and 1,780.75 is: 2,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.75 : 8,912.65 = 1,780.75 : x
  2. Step 2: Convert to fraction form
    5,940.75/8,912.65 = 1,780.75/x
  3. Step 3: Cross multiply
    5,940.75x = 8,912.65 × 1,780.75
  4. Step 4: Simplify right side
    5,940.75x = 15,871,201.49
  5. Step 5: Solve for x
    x = 15,871,201.49/5,940.75
  6. Step 6: Final answer
    x = 2,671.58

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1.5x scale

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.