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Finding the Fourth Proportional to 2,862.65, 3,950.71 and 1,603.69

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Solution

The fourth proportional to 2,862.65, 3,950.71 and 1,603.69 is: 2,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.65 : 3,950.71 = 1,603.69 : x
  2. Step 2: Convert to fraction form
    2,862.65/3,950.71 = 1,603.69/x
  3. Step 3: Cross multiply
    2,862.65x = 3,950.71 × 1,603.69
  4. Step 4: Simplify right side
    2,862.65x = 6,335,694.37
  5. Step 5: Solve for x
    x = 6,335,694.37/2,862.65
  6. Step 6: Final answer
    x = 2,213.23

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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.