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Finding the Fourth Proportional to 8,263.18, 12,398.64 and 3,880

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Solution

The fourth proportional to 8,263.18, 12,398.64 and 3,880 is: 5,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.18 : 12,398.64 = 3,880 : x
  2. Step 2: Convert to fraction form
    8,263.18/12,398.64 = 3,880/x
  3. Step 3: Cross multiply
    8,263.18x = 12,398.64 × 3,880
  4. Step 4: Simplify right side
    8,263.18x = 48,106,723.20
  5. Step 5: Solve for x
    x = 48,106,723.20/8,263.18
  6. Step 6: Final answer
    x = 5,821.82

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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.