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Finding the Fourth Proportional to 2,293.22, 3,438.81 and 649.39

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Solution

The fourth proportional to 2,293.22, 3,438.81 and 649.39 is: 973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.22 : 3,438.81 = 649.39 : x
  2. Step 2: Convert to fraction form
    2,293.22/3,438.81 = 649.39/x
  3. Step 3: Cross multiply
    2,293.22x = 3,438.81 × 649.39
  4. Step 4: Simplify right side
    2,293.22x = 2,233,128.83
  5. Step 5: Solve for x
    x = 2,233,128.83/2,293.22
  6. Step 6: Final answer
    x = 973.80

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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.