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Finding the Fourth Proportional to 2,675.85, 4,013.40 and 826.44

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Solution

The fourth proportional to 2,675.85, 4,013.40 and 826.44 is: 1,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.85 : 4,013.40 = 826.44 : x
  2. Step 2: Convert to fraction form
    2,675.85/4,013.40 = 826.44/x
  3. Step 3: Cross multiply
    2,675.85x = 4,013.40 × 826.44
  4. Step 4: Simplify right side
    2,675.85x = 3,316,834.30
  5. Step 5: Solve for x
    x = 3,316,834.30/2,675.85
  6. Step 6: Final answer
    x = 1,239.54

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1.5x scale

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.