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Finding the Fourth Proportional to 2,586.46, 3,879.29 and 943.00

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Solution

The fourth proportional to 2,586.46, 3,879.29 and 943.00 is: 1,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.46 : 3,879.29 = 943.00 : x
  2. Step 2: Convert to fraction form
    2,586.46/3,879.29 = 943.00/x
  3. Step 3: Cross multiply
    2,586.46x = 3,879.29 × 943.00
  4. Step 4: Simplify right side
    2,586.46x = 3,658,190.41
  5. Step 5: Solve for x
    x = 3,658,190.41/2,586.46
  6. Step 6: Final answer
    x = 1,414.36

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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.