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Finding the Fourth Proportional to 3,858.40, 5,324.34 and 2,461

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Solution

The fourth proportional to 3,858.40, 5,324.34 and 2,461 is: 3,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.40 : 5,324.34 = 2,461 : x
  2. Step 2: Convert to fraction form
    3,858.40/5,324.34 = 2,461/x
  3. Step 3: Cross multiply
    3,858.40x = 5,324.34 × 2,461
  4. Step 4: Simplify right side
    3,858.40x = 13,103,200.74
  5. Step 5: Solve for x
    x = 13,103,200.74/3,858.40
  6. Step 6: Final answer
    x = 3,396.02

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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.