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Finding the Fourth Proportional to 8,733.96, 13,099.95 and 8,220

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Solution

The fourth proportional to 8,733.96, 13,099.95 and 8,220 is: 12,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733.96 : 13,099.95 = 8,220 : x
  2. Step 2: Convert to fraction form
    8,733.96/13,099.95 = 8,220/x
  3. Step 3: Cross multiply
    8,733.96x = 13,099.95 × 8,220
  4. Step 4: Simplify right side
    8,733.96x = 107,681,589
  5. Step 5: Solve for x
    x = 107,681,589/8,733.96
  6. Step 6: Final answer
    x = 12,329.07

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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.