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Finding the Fourth Proportional to 8,220, 12,327.68 and 2,672.16

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Solution

The fourth proportional to 8,220, 12,327.68 and 2,672.16 is: 4,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220 : 12,327.68 = 2,672.16 : x
  2. Step 2: Convert to fraction form
    8,220/12,327.68 = 2,672.16/x
  3. Step 3: Cross multiply
    8,220x = 12,327.68 × 2,672.16
  4. Step 4: Simplify right side
    8,220x = 32,941,533.39
  5. Step 5: Solve for x
    x = 32,941,533.39/8,220
  6. Step 6: Final answer
    x = 4,007.49

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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.