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Finding the Fourth Proportional to 3,866.53, 5,338.04 and 2,689.20

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Solution

The fourth proportional to 3,866.53, 5,338.04 and 2,689.20 is: 3,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.53 : 5,338.04 = 2,689.20 : x
  2. Step 2: Convert to fraction form
    3,866.53/5,338.04 = 2,689.20/x
  3. Step 3: Cross multiply
    3,866.53x = 5,338.04 × 2,689.20
  4. Step 4: Simplify right side
    3,866.53x = 14,355,017.03
  5. Step 5: Solve for x
    x = 14,355,017.03/3,866.53
  6. Step 6: Final answer
    x = 3,712.64

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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.