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Finding the Fourth Proportional to 4,202, 5,799 and 2,409.78

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Solution

The fourth proportional to 4,202, 5,799 and 2,409.78 is: 3,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202 : 5,799 = 2,409.78 : x
  2. Step 2: Convert to fraction form
    4,202/5,799 = 2,409.78/x
  3. Step 3: Cross multiply
    4,202x = 5,799 × 2,409.78
  4. Step 4: Simplify right side
    4,202x = 13,974,314.22
  5. Step 5: Solve for x
    x = 13,974,314.22/4,202
  6. Step 6: Final answer
    x = 3,325.63

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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.