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Finding the Fourth Proportional to 2,586.54, 3,879.12 and 1,545.75

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Solution

The fourth proportional to 2,586.54, 3,879.12 and 1,545.75 is: 2,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.54 : 3,879.12 = 1,545.75 : x
  2. Step 2: Convert to fraction form
    2,586.54/3,879.12 = 1,545.75/x
  3. Step 3: Cross multiply
    2,586.54x = 3,879.12 × 1,545.75
  4. Step 4: Simplify right side
    2,586.54x = 5,996,149.74
  5. Step 5: Solve for x
    x = 5,996,149.74/2,586.54
  6. Step 6: Final answer
    x = 2,318.21

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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.