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Finding the Fourth Proportional to 3,876.33, 5,813.47 and 2,643.51

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Solution

The fourth proportional to 3,876.33, 5,813.47 and 2,643.51 is: 3,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.33 : 5,813.47 = 2,643.51 : x
  2. Step 2: Convert to fraction form
    3,876.33/5,813.47 = 2,643.51/x
  3. Step 3: Cross multiply
    3,876.33x = 5,813.47 × 2,643.51
  4. Step 4: Simplify right side
    3,876.33x = 15,367,966.08
  5. Step 5: Solve for x
    x = 15,367,966.08/3,876.33
  6. Step 6: Final answer
    x = 3,964.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.