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Finding the Fourth Proportional to 2,675.71, 4,014.24 and 1,115.19

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Solution

The fourth proportional to 2,675.71, 4,014.24 and 1,115.19 is: 1,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.71 : 4,014.24 = 1,115.19 : x
  2. Step 2: Convert to fraction form
    2,675.71/4,014.24 = 1,115.19/x
  3. Step 3: Cross multiply
    2,675.71x = 4,014.24 × 1,115.19
  4. Step 4: Simplify right side
    2,675.71x = 4,476,640.31
  5. Step 5: Solve for x
    x = 4,476,640.31/2,675.71
  6. Step 6: Final answer
    x = 1,673.07

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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.