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Finding the Fourth Proportional to 2,586.21, 3,879.58 and 830.78

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Solution

The fourth proportional to 2,586.21, 3,879.58 and 830.78 is: 1,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.21 : 3,879.58 = 830.78 : x
  2. Step 2: Convert to fraction form
    2,586.21/3,879.58 = 830.78/x
  3. Step 3: Cross multiply
    2,586.21x = 3,879.58 × 830.78
  4. Step 4: Simplify right side
    2,586.21x = 3,223,077.47
  5. Step 5: Solve for x
    x = 3,223,077.47/2,586.21
  6. Step 6: Final answer
    x = 1,246.26

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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.