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Finding the Fourth Proportional to 8,408.52, 12,588.30 and 6,553.98

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Solution

The fourth proportional to 8,408.52, 12,588.30 and 6,553.98 is: 9,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.52 : 12,588.30 = 6,553.98 : x
  2. Step 2: Convert to fraction form
    8,408.52/12,588.30 = 6,553.98/x
  3. Step 3: Cross multiply
    8,408.52x = 12,588.30 × 6,553.98
  4. Step 4: Simplify right side
    8,408.52x = 82,503,466.43
  5. Step 5: Solve for x
    x = 82,503,466.43/8,408.52
  6. Step 6: Final answer
    x = 9,811.89

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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.