Home / 2,067.61-3,099.92-971.36

Finding the Fourth Proportional to 2,067.61, 3,099.92 and 971.36

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Solution

The fourth proportional to 2,067.61, 3,099.92 and 971.36 is: 1,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.61 : 3,099.92 = 971.36 : x
  2. Step 2: Convert to fraction form
    2,067.61/3,099.92 = 971.36/x
  3. Step 3: Cross multiply
    2,067.61x = 3,099.92 × 971.36
  4. Step 4: Simplify right side
    2,067.61x = 3,011,138.29
  5. Step 5: Solve for x
    x = 3,011,138.29/2,067.61
  6. Step 6: Final answer
    x = 1,456.34

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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.