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Finding the Fourth Proportional to 2,804.45, 3,867.12 and 1,964.88

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Solution

The fourth proportional to 2,804.45, 3,867.12 and 1,964.88 is: 2,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.45 : 3,867.12 = 1,964.88 : x
  2. Step 2: Convert to fraction form
    2,804.45/3,867.12 = 1,964.88/x
  3. Step 3: Cross multiply
    2,804.45x = 3,867.12 × 1,964.88
  4. Step 4: Simplify right side
    2,804.45x = 7,598,432.10
  5. Step 5: Solve for x
    x = 7,598,432.10/2,804.45
  6. Step 6: Final answer
    x = 2,709.42

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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.