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Finding the Fourth Proportional to 2,722.80, 3,757 and 1,603.52

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Solution

The fourth proportional to 2,722.80, 3,757 and 1,603.52 is: 2,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.80 : 3,757 = 1,603.52 : x
  2. Step 2: Convert to fraction form
    2,722.80/3,757 = 1,603.52/x
  3. Step 3: Cross multiply
    2,722.80x = 3,757 × 1,603.52
  4. Step 4: Simplify right side
    2,722.80x = 6,024,424.64
  5. Step 5: Solve for x
    x = 6,024,424.64/2,722.80
  6. Step 6: Final answer
    x = 2,212.58

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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.