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Finding the Fourth Proportional to 2,586.35, 3,879.47 and 638.55

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Solution

The fourth proportional to 2,586.35, 3,879.47 and 638.55 is: 957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.35 : 3,879.47 = 638.55 : x
  2. Step 2: Convert to fraction form
    2,586.35/3,879.47 = 638.55/x
  3. Step 3: Cross multiply
    2,586.35x = 3,879.47 × 638.55
  4. Step 4: Simplify right side
    2,586.35x = 2,477,237.16
  5. Step 5: Solve for x
    x = 2,477,237.16/2,586.35
  6. Step 6: Final answer
    x = 957.81

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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.