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Finding the Fourth Proportional to 5,138.97, 7,708.80 and 1,806.82

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Solution

The fourth proportional to 5,138.97, 7,708.80 and 1,806.82 is: 2,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.97 : 7,708.80 = 1,806.82 : x
  2. Step 2: Convert to fraction form
    5,138.97/7,708.80 = 1,806.82/x
  3. Step 3: Cross multiply
    5,138.97x = 7,708.80 × 1,806.82
  4. Step 4: Simplify right side
    5,138.97x = 13,928,414.02
  5. Step 5: Solve for x
    x = 13,928,414.02/5,138.97
  6. Step 6: Final answer
    x = 2,710.35

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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.