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Finding the Fourth Proportional to 2,642.66, 3,965.01 and 1,603.41

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Solution

The fourth proportional to 2,642.66, 3,965.01 and 1,603.41 is: 2,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.66 : 3,965.01 = 1,603.41 : x
  2. Step 2: Convert to fraction form
    2,642.66/3,965.01 = 1,603.41/x
  3. Step 3: Cross multiply
    2,642.66x = 3,965.01 × 1,603.41
  4. Step 4: Simplify right side
    2,642.66x = 6,357,536.68
  5. Step 5: Solve for x
    x = 6,357,536.68/2,642.66
  6. Step 6: Final answer
    x = 2,405.73

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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.