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Finding the Fourth Proportional to 2,163.87, 3,246 and 1,303.65

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Solution

The fourth proportional to 2,163.87, 3,246 and 1,303.65 is: 1,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.87 : 3,246 = 1,303.65 : x
  2. Step 2: Convert to fraction form
    2,163.87/3,246 = 1,303.65/x
  3. Step 3: Cross multiply
    2,163.87x = 3,246 × 1,303.65
  4. Step 4: Simplify right side
    2,163.87x = 4,231,647.90
  5. Step 5: Solve for x
    x = 4,231,647.90/2,163.87
  6. Step 6: Final answer
    x = 1,955.59

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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.