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Finding the Fourth Proportional to 2,669.31, 4,003.44 and 721.08

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Solution

The fourth proportional to 2,669.31, 4,003.44 and 721.08 is: 1,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.31 : 4,003.44 = 721.08 : x
  2. Step 2: Convert to fraction form
    2,669.31/4,003.44 = 721.08/x
  3. Step 3: Cross multiply
    2,669.31x = 4,003.44 × 721.08
  4. Step 4: Simplify right side
    2,669.31x = 2,886,800.52
  5. Step 5: Solve for x
    x = 2,886,800.52/2,669.31
  6. Step 6: Final answer
    x = 1,081.48

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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.