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Finding the Fourth Proportional to 7,108.92, 9,809.87 and 3,922.25

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Solution

The fourth proportional to 7,108.92, 9,809.87 and 3,922.25 is: 5,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.92 : 9,809.87 = 3,922.25 : x
  2. Step 2: Convert to fraction form
    7,108.92/9,809.87 = 3,922.25/x
  3. Step 3: Cross multiply
    7,108.92x = 9,809.87 × 3,922.25
  4. Step 4: Simplify right side
    7,108.92x = 38,476,693.95
  5. Step 5: Solve for x
    x = 38,476,693.95/7,108.92
  6. Step 6: Final answer
    x = 5,412.45

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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.