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Finding the Fourth Proportional to 10,761, 16,147.98 and 4,605

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Solution

The fourth proportional to 10,761, 16,147.98 and 4,605 is: 6,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761 : 16,147.98 = 4,605 : x
  2. Step 2: Convert to fraction form
    10,761/16,147.98 = 4,605/x
  3. Step 3: Cross multiply
    10,761x = 16,147.98 × 4,605
  4. Step 4: Simplify right side
    10,761x = 74,361,447.90
  5. Step 5: Solve for x
    x = 74,361,447.90/10,761
  6. Step 6: Final answer
    x = 6,910.27

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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.