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Finding the Fourth Proportional to 2,847.50, 3,927.38 and 1,964.78

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Solution

The fourth proportional to 2,847.50, 3,927.38 and 1,964.78 is: 2,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.50 : 3,927.38 = 1,964.78 : x
  2. Step 2: Convert to fraction form
    2,847.50/3,927.38 = 1,964.78/x
  3. Step 3: Cross multiply
    2,847.50x = 3,927.38 × 1,964.78
  4. Step 4: Simplify right side
    2,847.50x = 7,716,437.68
  5. Step 5: Solve for x
    x = 7,716,437.68/2,847.50
  6. Step 6: Final answer
    x = 2,709.90

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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.