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Finding the Fourth Proportional to 5,119.80, 7,071.86 and 3,917.47

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Solution

The fourth proportional to 5,119.80, 7,071.86 and 3,917.47 is: 5,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.80 : 7,071.86 = 3,917.47 : x
  2. Step 2: Convert to fraction form
    5,119.80/7,071.86 = 3,917.47/x
  3. Step 3: Cross multiply
    5,119.80x = 7,071.86 × 3,917.47
  4. Step 4: Simplify right side
    5,119.80x = 27,703,799.39
  5. Step 5: Solve for x
    x = 27,703,799.39/5,119.80
  6. Step 6: Final answer
    x = 5,411.11

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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.