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Finding the Fourth Proportional to 2,689.84, 3,709.51 and 1,744.65

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Solution

The fourth proportional to 2,689.84, 3,709.51 and 1,744.65 is: 2,406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.84 : 3,709.51 = 1,744.65 : x
  2. Step 2: Convert to fraction form
    2,689.84/3,709.51 = 1,744.65/x
  3. Step 3: Cross multiply
    2,689.84x = 3,709.51 × 1,744.65
  4. Step 4: Simplify right side
    2,689.84x = 6,471,796.62
  5. Step 5: Solve for x
    x = 6,471,796.62/2,689.84
  6. Step 6: Final answer
    x = 2,406.02

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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.