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Finding the Fourth Proportional to 2,689.29, 4,033.89 and 741.51

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Solution

The fourth proportional to 2,689.29, 4,033.89 and 741.51 is: 1,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.29 : 4,033.89 = 741.51 : x
  2. Step 2: Convert to fraction form
    2,689.29/4,033.89 = 741.51/x
  3. Step 3: Cross multiply
    2,689.29x = 4,033.89 × 741.51
  4. Step 4: Simplify right side
    2,689.29x = 2,991,169.77
  5. Step 5: Solve for x
    x = 2,991,169.77/2,689.29
  6. Step 6: Final answer
    x = 1,112.25

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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.