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Finding the Fourth Proportional to 2,810.24, 3,879.94 and 2,515

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Solution

The fourth proportional to 2,810.24, 3,879.94 and 2,515 is: 3,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.24 : 3,879.94 = 2,515 : x
  2. Step 2: Convert to fraction form
    2,810.24/3,879.94 = 2,515/x
  3. Step 3: Cross multiply
    2,810.24x = 3,879.94 × 2,515
  4. Step 4: Simplify right side
    2,810.24x = 9,758,049.10
  5. Step 5: Solve for x
    x = 9,758,049.10/2,810.24
  6. Step 6: Final answer
    x = 3,472.32

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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.