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Finding the Fourth Proportional to 2,675.02, 4,012.95 and 826.12

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Solution

The fourth proportional to 2,675.02, 4,012.95 and 826.12 is: 1,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.02 : 4,012.95 = 826.12 : x
  2. Step 2: Convert to fraction form
    2,675.02/4,012.95 = 826.12/x
  3. Step 3: Cross multiply
    2,675.02x = 4,012.95 × 826.12
  4. Step 4: Simplify right side
    2,675.02x = 3,315,178.25
  5. Step 5: Solve for x
    x = 3,315,178.25/2,675.02
  6. Step 6: Final answer
    x = 1,239.31

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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.