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Finding the Fourth Proportional to 6,780.62, 9,356.63 and 3,947.87

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Solution

The fourth proportional to 6,780.62, 9,356.63 and 3,947.87 is: 5,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.62 : 9,356.63 = 3,947.87 : x
  2. Step 2: Convert to fraction form
    6,780.62/9,356.63 = 3,947.87/x
  3. Step 3: Cross multiply
    6,780.62x = 9,356.63 × 3,947.87
  4. Step 4: Simplify right side
    6,780.62x = 36,938,692.36
  5. Step 5: Solve for x
    x = 36,938,692.36/6,780.62
  6. Step 6: Final answer
    x = 5,447.69

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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.