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Finding the Fourth Proportional to 18,579, 27,875.76 and 8,183.46

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Solution

The fourth proportional to 18,579, 27,875.76 and 8,183.46 is: 12,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,579 : 27,875.76 = 8,183.46 : x
  2. Step 2: Convert to fraction form
    18,579/27,875.76 = 8,183.46/x
  3. Step 3: Cross multiply
    18,579x = 27,875.76 × 8,183.46
  4. Step 4: Simplify right side
    18,579x = 228,120,166.93
  5. Step 5: Solve for x
    x = 228,120,166.93/18,579
  6. Step 6: Final answer
    x = 12,278.39

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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.