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Finding the Fourth Proportional to 8,522.99, 12,787.67 and 3,841.59

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Solution

The fourth proportional to 8,522.99, 12,787.67 and 3,841.59 is: 5,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.99 : 12,787.67 = 3,841.59 : x
  2. Step 2: Convert to fraction form
    8,522.99/12,787.67 = 3,841.59/x
  3. Step 3: Cross multiply
    8,522.99x = 12,787.67 × 3,841.59
  4. Step 4: Simplify right side
    8,522.99x = 49,124,985.20
  5. Step 5: Solve for x
    x = 49,124,985.20/8,522.99
  6. Step 6: Final answer
    x = 5,763.82

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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.