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Finding the Fourth Proportional to 3,163.65, 4,746.27 and 1,431.81

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Solution

The fourth proportional to 3,163.65, 4,746.27 and 1,431.81 is: 2,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.65 : 4,746.27 = 1,431.81 : x
  2. Step 2: Convert to fraction form
    3,163.65/4,746.27 = 1,431.81/x
  3. Step 3: Cross multiply
    3,163.65x = 4,746.27 × 1,431.81
  4. Step 4: Simplify right side
    3,163.65x = 6,795,756.85
  5. Step 5: Solve for x
    x = 6,795,756.85/3,163.65
  6. Step 6: Final answer
    x = 2,148.07

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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.