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Finding the Fourth Proportional to 2,719.11, 4,078.53 and 964.08

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Solution

The fourth proportional to 2,719.11, 4,078.53 and 964.08 is: 1,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.11 : 4,078.53 = 964.08 : x
  2. Step 2: Convert to fraction form
    2,719.11/4,078.53 = 964.08/x
  3. Step 3: Cross multiply
    2,719.11x = 4,078.53 × 964.08
  4. Step 4: Simplify right side
    2,719.11x = 3,932,029.20
  5. Step 5: Solve for x
    x = 3,932,029.20/2,719.11
  6. Step 6: Final answer
    x = 1,446.07

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1.5x scale

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.