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Finding the Fourth Proportional to 8,220, 12,330.96 and 2,748

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Solution

The fourth proportional to 8,220, 12,330.96 and 2,748 is: 4,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220 : 12,330.96 = 2,748 : x
  2. Step 2: Convert to fraction form
    8,220/12,330.96 = 2,748/x
  3. Step 3: Cross multiply
    8,220x = 12,330.96 × 2,748
  4. Step 4: Simplify right side
    8,220x = 33,885,478.08
  5. Step 5: Solve for x
    x = 33,885,478.08/8,220
  6. Step 6: Final answer
    x = 4,122.32

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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.