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Finding the Fourth Proportional to 7,109.42, 9,805.92 and 6,163.52

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Solution

The fourth proportional to 7,109.42, 9,805.92 and 6,163.52 is: 8,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.42 : 9,805.92 = 6,163.52 : x
  2. Step 2: Convert to fraction form
    7,109.42/9,805.92 = 6,163.52/x
  3. Step 3: Cross multiply
    7,109.42x = 9,805.92 × 6,163.52
  4. Step 4: Simplify right side
    7,109.42x = 60,438,935.01
  5. Step 5: Solve for x
    x = 60,438,935.01/7,109.42
  6. Step 6: Final answer
    x = 8,501.25

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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.