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Finding the Fourth Proportional to 8,675, 13,012.86 and 2,519

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Solution

The fourth proportional to 8,675, 13,012.86 and 2,519 is: 3,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675 : 13,012.86 = 2,519 : x
  2. Step 2: Convert to fraction form
    8,675/13,012.86 = 2,519/x
  3. Step 3: Cross multiply
    8,675x = 13,012.86 × 2,519
  4. Step 4: Simplify right side
    8,675x = 32,779,394.34
  5. Step 5: Solve for x
    x = 32,779,394.34/8,675
  6. Step 6: Final answer
    x = 3,778.60

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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.