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Finding the Fourth Proportional to 2,540.57, 3,809.94 and 1,758.71

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Solution

The fourth proportional to 2,540.57, 3,809.94 and 1,758.71 is: 2,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.57 : 3,809.94 = 1,758.71 : x
  2. Step 2: Convert to fraction form
    2,540.57/3,809.94 = 1,758.71/x
  3. Step 3: Cross multiply
    2,540.57x = 3,809.94 × 1,758.71
  4. Step 4: Simplify right side
    2,540.57x = 6,700,582.51
  5. Step 5: Solve for x
    x = 6,700,582.51/2,540.57
  6. Step 6: Final answer
    x = 2,637.44

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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.