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Finding the Fourth Proportional to 5,129.91, 7,690.14 and 2,786.49

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Solution

The fourth proportional to 5,129.91, 7,690.14 and 2,786.49 is: 4,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.91 : 7,690.14 = 2,786.49 : x
  2. Step 2: Convert to fraction form
    5,129.91/7,690.14 = 2,786.49/x
  3. Step 3: Cross multiply
    5,129.91x = 7,690.14 × 2,786.49
  4. Step 4: Simplify right side
    5,129.91x = 21,428,498.21
  5. Step 5: Solve for x
    x = 21,428,498.21/5,129.91
  6. Step 6: Final answer
    x = 4,177.17

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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.