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Finding the Fourth Proportional to 12,219, 18,328.50 and 4,427.82

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Solution

The fourth proportional to 12,219, 18,328.50 and 4,427.82 is: 6,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219 : 18,328.50 = 4,427.82 : x
  2. Step 2: Convert to fraction form
    12,219/18,328.50 = 4,427.82/x
  3. Step 3: Cross multiply
    12,219x = 18,328.50 × 4,427.82
  4. Step 4: Simplify right side
    12,219x = 81,155,298.87
  5. Step 5: Solve for x
    x = 81,155,298.87/12,219
  6. Step 6: Final answer
    x = 6,641.73

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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.