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Finding the Fourth Proportional to 2,604, 3,593.52 and 1,721.28

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Solution

The fourth proportional to 2,604, 3,593.52 and 1,721.28 is: 2,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604 : 3,593.52 = 1,721.28 : x
  2. Step 2: Convert to fraction form
    2,604/3,593.52 = 1,721.28/x
  3. Step 3: Cross multiply
    2,604x = 3,593.52 × 1,721.28
  4. Step 4: Simplify right side
    2,604x = 6,185,454.11
  5. Step 5: Solve for x
    x = 6,185,454.11/2,604
  6. Step 6: Final answer
    x = 2,375.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.