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Finding the Fourth Proportional to 12,211, 18,316.62 and 2,977

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Solution

The fourth proportional to 12,211, 18,316.62 and 2,977 is: 4,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211 : 18,316.62 = 2,977 : x
  2. Step 2: Convert to fraction form
    12,211/18,316.62 = 2,977/x
  3. Step 3: Cross multiply
    12,211x = 18,316.62 × 2,977
  4. Step 4: Simplify right side
    12,211x = 54,528,577.74
  5. Step 5: Solve for x
    x = 54,528,577.74/12,211
  6. Step 6: Final answer
    x = 4,465.53

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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.