Home / 2,069.12-3,100.92-971.97

Finding the Fourth Proportional to 2,069.12, 3,100.92 and 971.97

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Solution

The fourth proportional to 2,069.12, 3,100.92 and 971.97 is: 1,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.12 : 3,100.92 = 971.97 : x
  2. Step 2: Convert to fraction form
    2,069.12/3,100.92 = 971.97/x
  3. Step 3: Cross multiply
    2,069.12x = 3,100.92 × 971.97
  4. Step 4: Simplify right side
    2,069.12x = 3,014,001.21
  5. Step 5: Solve for x
    x = 3,014,001.21/2,069.12
  6. Step 6: Final answer
    x = 1,456.66

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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.