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Finding the Fourth Proportional to 2,586.70, 3,879.67 and 942.86

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Solution

The fourth proportional to 2,586.70, 3,879.67 and 942.86 is: 1,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.70 : 3,879.67 = 942.86 : x
  2. Step 2: Convert to fraction form
    2,586.70/3,879.67 = 942.86/x
  3. Step 3: Cross multiply
    2,586.70x = 3,879.67 × 942.86
  4. Step 4: Simplify right side
    2,586.70x = 3,657,985.66
  5. Step 5: Solve for x
    x = 3,657,985.66/2,586.70
  6. Step 6: Final answer
    x = 1,414.15

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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.