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Finding the Fourth Proportional to 8,394.69, 12,593.85 and 2,551.77

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Solution

The fourth proportional to 8,394.69, 12,593.85 and 2,551.77 is: 3,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.69 : 12,593.85 = 2,551.77 : x
  2. Step 2: Convert to fraction form
    8,394.69/12,593.85 = 2,551.77/x
  3. Step 3: Cross multiply
    8,394.69x = 12,593.85 × 2,551.77
  4. Step 4: Simplify right side
    8,394.69x = 32,136,608.61
  5. Step 5: Solve for x
    x = 32,136,608.61/8,394.69
  6. Step 6: Final answer
    x = 3,828.21

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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.