Home / 2,111.14-3,166.44-649.90

Finding the Fourth Proportional to 2,111.14, 3,166.44 and 649.90

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Solution

The fourth proportional to 2,111.14, 3,166.44 and 649.90 is: 974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.14 : 3,166.44 = 649.90 : x
  2. Step 2: Convert to fraction form
    2,111.14/3,166.44 = 649.90/x
  3. Step 3: Cross multiply
    2,111.14x = 3,166.44 × 649.90
  4. Step 4: Simplify right side
    2,111.14x = 2,057,869.36
  5. Step 5: Solve for x
    x = 2,057,869.36/2,111.14
  6. Step 6: Final answer
    x = 974.77

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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.