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Finding the Fourth Proportional to 10,605, 14,634.90 and 6,189

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Solution

The fourth proportional to 10,605, 14,634.90 and 6,189 is: 8,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605 : 14,634.90 = 6,189 : x
  2. Step 2: Convert to fraction form
    10,605/14,634.90 = 6,189/x
  3. Step 3: Cross multiply
    10,605x = 14,634.90 × 6,189
  4. Step 4: Simplify right side
    10,605x = 90,575,396.10
  5. Step 5: Solve for x
    x = 90,575,396.10/10,605
  6. Step 6: Final answer
    x = 8,540.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.