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Finding the Fourth Proportional to 8,203.16, 12,311.74 and 3,276.28

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Solution

The fourth proportional to 8,203.16, 12,311.74 and 3,276.28 is: 4,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.16 : 12,311.74 = 3,276.28 : x
  2. Step 2: Convert to fraction form
    8,203.16/12,311.74 = 3,276.28/x
  3. Step 3: Cross multiply
    8,203.16x = 12,311.74 × 3,276.28
  4. Step 4: Simplify right side
    8,203.16x = 40,336,707.53
  5. Step 5: Solve for x
    x = 40,336,707.53/8,203.16
  6. Step 6: Final answer
    x = 4,917.22

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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.