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Finding the Fourth Proportional to 6,871.10, 9,482.08 and 3,727.28

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Solution

The fourth proportional to 6,871.10, 9,482.08 and 3,727.28 is: 5,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.10 : 9,482.08 = 3,727.28 : x
  2. Step 2: Convert to fraction form
    6,871.10/9,482.08 = 3,727.28/x
  3. Step 3: Cross multiply
    6,871.10x = 9,482.08 × 3,727.28
  4. Step 4: Simplify right side
    6,871.10x = 35,342,367.14
  5. Step 5: Solve for x
    x = 35,342,367.14/6,871.10
  6. Step 6: Final answer
    x = 5,143.63

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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.