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Finding the Fourth Proportional to 10,782, 16,168.14 and 4,208.04

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Solution

The fourth proportional to 10,782, 16,168.14 and 4,208.04 is: 6,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782 : 16,168.14 = 4,208.04 : x
  2. Step 2: Convert to fraction form
    10,782/16,168.14 = 4,208.04/x
  3. Step 3: Cross multiply
    10,782x = 16,168.14 × 4,208.04
  4. Step 4: Simplify right side
    10,782x = 68,036,179.85
  5. Step 5: Solve for x
    x = 68,036,179.85/10,782
  6. Step 6: Final answer
    x = 6,310.16

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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.