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Finding the Fourth Proportional to 10,775, 16,168.60 and 4,200.36

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Solution

The fourth proportional to 10,775, 16,168.60 and 4,200.36 is: 6,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775 : 16,168.60 = 4,200.36 : x
  2. Step 2: Convert to fraction form
    10,775/16,168.60 = 4,200.36/x
  3. Step 3: Cross multiply
    10,775x = 16,168.60 × 4,200.36
  4. Step 4: Simplify right side
    10,775x = 67,913,940.70
  5. Step 5: Solve for x
    x = 67,913,940.70/10,775
  6. Step 6: Final answer
    x = 6,302.92

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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.