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Finding the Fourth Proportional to 2,689.28, 4,033.44 and 741.05

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Solution

The fourth proportional to 2,689.28, 4,033.44 and 741.05 is: 1,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.28 : 4,033.44 = 741.05 : x
  2. Step 2: Convert to fraction form
    2,689.28/4,033.44 = 741.05/x
  3. Step 3: Cross multiply
    2,689.28x = 4,033.44 × 741.05
  4. Step 4: Simplify right side
    2,689.28x = 2,988,960.54
  5. Step 5: Solve for x
    x = 2,988,960.54/2,689.28
  6. Step 6: Final answer
    x = 1,111.44

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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.