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Finding the Fourth Proportional to 6,910.70, 9,538 and 4,077.90

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Solution

The fourth proportional to 6,910.70, 9,538 and 4,077.90 is: 5,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.70 : 9,538 = 4,077.90 : x
  2. Step 2: Convert to fraction form
    6,910.70/9,538 = 4,077.90/x
  3. Step 3: Cross multiply
    6,910.70x = 9,538 × 4,077.90
  4. Step 4: Simplify right side
    6,910.70x = 38,895,010.20
  5. Step 5: Solve for x
    x = 38,895,010.20/6,910.70
  6. Step 6: Final answer
    x = 5,628.23

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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.