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Finding the Fourth Proportional to 3,278.80, 4,927.80 and 2,856.40

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Solution

The fourth proportional to 3,278.80, 4,927.80 and 2,856.40 is: 4,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.80 : 4,927.80 = 2,856.40 : x
  2. Step 2: Convert to fraction form
    3,278.80/4,927.80 = 2,856.40/x
  3. Step 3: Cross multiply
    3,278.80x = 4,927.80 × 2,856.40
  4. Step 4: Simplify right side
    3,278.80x = 14,075,767.92
  5. Step 5: Solve for x
    x = 14,075,767.92/3,278.80
  6. Step 6: Final answer
    x = 4,292.96

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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.