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Finding the Fourth Proportional to 4,185.96, 5,778 and 2,418

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Solution

The fourth proportional to 4,185.96, 5,778 and 2,418 is: 3,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.96 : 5,778 = 2,418 : x
  2. Step 2: Convert to fraction form
    4,185.96/5,778 = 2,418/x
  3. Step 3: Cross multiply
    4,185.96x = 5,778 × 2,418
  4. Step 4: Simplify right side
    4,185.96x = 13,971,204
  5. Step 5: Solve for x
    x = 13,971,204/4,185.96
  6. Step 6: Final answer
    x = 3,337.63

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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.