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Finding the Fourth Proportional to 8,616, 12,924 and 2,773.20

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Solution

The fourth proportional to 8,616, 12,924 and 2,773.20 is: 4,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616 : 12,924 = 2,773.20 : x
  2. Step 2: Convert to fraction form
    8,616/12,924 = 2,773.20/x
  3. Step 3: Cross multiply
    8,616x = 12,924 × 2,773.20
  4. Step 4: Simplify right side
    8,616x = 35,840,836.80
  5. Step 5: Solve for x
    x = 35,840,836.80/8,616
  6. Step 6: Final answer
    x = 4,159.80

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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.