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Finding the Fourth Proportional to 6,907.88, 9,538.50 and 5,631.97

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Solution

The fourth proportional to 6,907.88, 9,538.50 and 5,631.97 is: 7,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.88 : 9,538.50 = 5,631.97 : x
  2. Step 2: Convert to fraction form
    6,907.88/9,538.50 = 5,631.97/x
  3. Step 3: Cross multiply
    6,907.88x = 9,538.50 × 5,631.97
  4. Step 4: Simplify right side
    6,907.88x = 53,720,545.85
  5. Step 5: Solve for x
    x = 53,720,545.85/6,907.88
  6. Step 6: Final answer
    x = 7,776.71

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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.