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Finding the Fourth Proportional to 12,208.64, 18,312.64 and 2,974.56

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Solution

The fourth proportional to 12,208.64, 18,312.64 and 2,974.56 is: 4,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.64 : 18,312.64 = 2,974.56 : x
  2. Step 2: Convert to fraction form
    12,208.64/18,312.64 = 2,974.56/x
  3. Step 3: Cross multiply
    12,208.64x = 18,312.64 × 2,974.56
  4. Step 4: Simplify right side
    12,208.64x = 54,472,046.44
  5. Step 5: Solve for x
    x = 54,472,046.44/12,208.64
  6. Step 6: Final answer
    x = 4,461.76

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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.