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Finding the Fourth Proportional to 8,271.64, 12,396.84 and 3,879.40

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Solution

The fourth proportional to 8,271.64, 12,396.84 and 3,879.40 is: 5,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.64 : 12,396.84 = 3,879.40 : x
  2. Step 2: Convert to fraction form
    8,271.64/12,396.84 = 3,879.40/x
  3. Step 3: Cross multiply
    8,271.64x = 12,396.84 × 3,879.40
  4. Step 4: Simplify right side
    8,271.64x = 48,092,301.10
  5. Step 5: Solve for x
    x = 48,092,301.10/8,271.64
  6. Step 6: Final answer
    x = 5,814.12

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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.