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Finding the Fourth Proportional to 2,719.60, 4,078.49 and 964.53

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Solution

The fourth proportional to 2,719.60, 4,078.49 and 964.53 is: 1,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.60 : 4,078.49 = 964.53 : x
  2. Step 2: Convert to fraction form
    2,719.60/4,078.49 = 964.53/x
  3. Step 3: Cross multiply
    2,719.60x = 4,078.49 × 964.53
  4. Step 4: Simplify right side
    2,719.60x = 3,933,821.14
  5. Step 5: Solve for x
    x = 3,933,821.14/2,719.60
  6. Step 6: Final answer
    x = 1,446.47

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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.