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Finding the Fourth Proportional to 10,775, 16,156.20 and 4,111.88

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Solution

The fourth proportional to 10,775, 16,156.20 and 4,111.88 is: 6,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775 : 16,156.20 = 4,111.88 : x
  2. Step 2: Convert to fraction form
    10,775/16,156.20 = 4,111.88/x
  3. Step 3: Cross multiply
    10,775x = 16,156.20 × 4,111.88
  4. Step 4: Simplify right side
    10,775x = 66,432,355.66
  5. Step 5: Solve for x
    x = 66,432,355.66/10,775
  6. Step 6: Final answer
    x = 6,165.42

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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.