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Finding the Fourth Proportional to 2,291.68, 3,163.13 and 1,583.65

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Solution

The fourth proportional to 2,291.68, 3,163.13 and 1,583.65 is: 2,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.68 : 3,163.13 = 1,583.65 : x
  2. Step 2: Convert to fraction form
    2,291.68/3,163.13 = 1,583.65/x
  3. Step 3: Cross multiply
    2,291.68x = 3,163.13 × 1,583.65
  4. Step 4: Simplify right side
    2,291.68x = 5,009,290.82
  5. Step 5: Solve for x
    x = 5,009,290.82/2,291.68
  6. Step 6: Final answer
    x = 2,185.86

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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.