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Finding the Fourth Proportional to 2,669.66, 4,004.03 and 721.41

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Solution

The fourth proportional to 2,669.66, 4,004.03 and 721.41 is: 1,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.66 : 4,004.03 = 721.41 : x
  2. Step 2: Convert to fraction form
    2,669.66/4,004.03 = 721.41/x
  3. Step 3: Cross multiply
    2,669.66x = 4,004.03 × 721.41
  4. Step 4: Simplify right side
    2,669.66x = 2,888,534.07
  5. Step 5: Solve for x
    x = 2,888,534.07/2,669.66
  6. Step 6: Final answer
    x = 1,081.99

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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.