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Finding the Fourth Proportional to 3,699.82, 5,101.14 and 3,109.06

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Solution

The fourth proportional to 3,699.82, 5,101.14 and 3,109.06 is: 4,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.82 : 5,101.14 = 3,109.06 : x
  2. Step 2: Convert to fraction form
    3,699.82/5,101.14 = 3,109.06/x
  3. Step 3: Cross multiply
    3,699.82x = 5,101.14 × 3,109.06
  4. Step 4: Simplify right side
    3,699.82x = 15,859,750.33
  5. Step 5: Solve for x
    x = 15,859,750.33/3,699.82
  6. Step 6: Final answer
    x = 4,286.63

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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.