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Finding the Fourth Proportional to 2,669.91, 4,004.86 and 722.11

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Solution

The fourth proportional to 2,669.91, 4,004.86 and 722.11 is: 1,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.91 : 4,004.86 = 722.11 : x
  2. Step 2: Convert to fraction form
    2,669.91/4,004.86 = 722.11/x
  3. Step 3: Cross multiply
    2,669.91x = 4,004.86 × 722.11
  4. Step 4: Simplify right side
    2,669.91x = 2,891,949.45
  5. Step 5: Solve for x
    x = 2,891,949.45/2,669.91
  6. Step 6: Final answer
    x = 1,083.16

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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.