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Finding the Fourth Proportional to 2,558.70, 3,834.21 and 1,518.90

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Solution

The fourth proportional to 2,558.70, 3,834.21 and 1,518.90 is: 2,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.70 : 3,834.21 = 1,518.90 : x
  2. Step 2: Convert to fraction form
    2,558.70/3,834.21 = 1,518.90/x
  3. Step 3: Cross multiply
    2,558.70x = 3,834.21 × 1,518.90
  4. Step 4: Simplify right side
    2,558.70x = 5,823,781.57
  5. Step 5: Solve for x
    x = 5,823,781.57/2,558.70
  6. Step 6: Final answer
    x = 2,276.07

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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.