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Finding the Fourth Proportional to 2,810.68, 4,216.92 and 1,349.92

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Solution

The fourth proportional to 2,810.68, 4,216.92 and 1,349.92 is: 2,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.68 : 4,216.92 = 1,349.92 : x
  2. Step 2: Convert to fraction form
    2,810.68/4,216.92 = 1,349.92/x
  3. Step 3: Cross multiply
    2,810.68x = 4,216.92 × 1,349.92
  4. Step 4: Simplify right side
    2,810.68x = 5,692,504.65
  5. Step 5: Solve for x
    x = 5,692,504.65/2,810.68
  6. Step 6: Final answer
    x = 2,025.31

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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.