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Finding the Fourth Proportional to 3,884.79, 5,361 and 2,116.41

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Solution

The fourth proportional to 3,884.79, 5,361 and 2,116.41 is: 2,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.79 : 5,361 = 2,116.41 : x
  2. Step 2: Convert to fraction form
    3,884.79/5,361 = 2,116.41/x
  3. Step 3: Cross multiply
    3,884.79x = 5,361 × 2,116.41
  4. Step 4: Simplify right side
    3,884.79x = 11,346,074.01
  5. Step 5: Solve for x
    x = 11,346,074.01/3,884.79
  6. Step 6: Final answer
    x = 2,920.64

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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.