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Finding the Fourth Proportional to 5,141.82, 7,720.02 and 4,906.92

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Solution

The fourth proportional to 5,141.82, 7,720.02 and 4,906.92 is: 7,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.82 : 7,720.02 = 4,906.92 : x
  2. Step 2: Convert to fraction form
    5,141.82/7,720.02 = 4,906.92/x
  3. Step 3: Cross multiply
    5,141.82x = 7,720.02 × 4,906.92
  4. Step 4: Simplify right side
    5,141.82x = 37,881,520.54
  5. Step 5: Solve for x
    x = 37,881,520.54/5,141.82
  6. Step 6: Final answer
    x = 7,367.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.