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Finding the Fourth Proportional to 6,910.38, 9,529.11 and 4,549.50

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Solution

The fourth proportional to 6,910.38, 9,529.11 and 4,549.50 is: 6,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.38 : 9,529.11 = 4,549.50 : x
  2. Step 2: Convert to fraction form
    6,910.38/9,529.11 = 4,549.50/x
  3. Step 3: Cross multiply
    6,910.38x = 9,529.11 × 4,549.50
  4. Step 4: Simplify right side
    6,910.38x = 43,352,685.95
  5. Step 5: Solve for x
    x = 43,352,685.95/6,910.38
  6. Step 6: Final answer
    x = 6,273.56

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1.5x scale

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.