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Finding the Fourth Proportional to 2,506.70, 3,764.33 and 2,089.81

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Solution

The fourth proportional to 2,506.70, 3,764.33 and 2,089.81 is: 3,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.70 : 3,764.33 = 2,089.81 : x
  2. Step 2: Convert to fraction form
    2,506.70/3,764.33 = 2,089.81/x
  3. Step 3: Cross multiply
    2,506.70x = 3,764.33 × 2,089.81
  4. Step 4: Simplify right side
    2,506.70x = 7,866,736.57
  5. Step 5: Solve for x
    x = 7,866,736.57/2,506.70
  6. Step 6: Final answer
    x = 3,138.28

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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.