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Finding the Fourth Proportional to 8,271.81, 12,410.28 and 2,650.32

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Solution

The fourth proportional to 8,271.81, 12,410.28 and 2,650.32 is: 3,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.81 : 12,410.28 = 2,650.32 : x
  2. Step 2: Convert to fraction form
    8,271.81/12,410.28 = 2,650.32/x
  3. Step 3: Cross multiply
    8,271.81x = 12,410.28 × 2,650.32
  4. Step 4: Simplify right side
    8,271.81x = 32,891,213.29
  5. Step 5: Solve for x
    x = 32,891,213.29/8,271.81
  6. Step 6: Final answer
    x = 3,976.30

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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.