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Finding the Fourth Proportional to 3,186, 4,393.44 and 2,594.70

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Solution

The fourth proportional to 3,186, 4,393.44 and 2,594.70 is: 3,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 4,393.44 = 2,594.70 : x
  2. Step 2: Convert to fraction form
    3,186/4,393.44 = 2,594.70/x
  3. Step 3: Cross multiply
    3,186x = 4,393.44 × 2,594.70
  4. Step 4: Simplify right side
    3,186x = 11,399,658.77
  5. Step 5: Solve for x
    x = 11,399,658.77/3,186
  6. Step 6: Final answer
    x = 3,578.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.