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Finding the Fourth Proportional to 12,288, 18,420.96 and 4,495.20

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Solution

The fourth proportional to 12,288, 18,420.96 and 4,495.20 is: 6,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288 : 18,420.96 = 4,495.20 : x
  2. Step 2: Convert to fraction form
    12,288/18,420.96 = 4,495.20/x
  3. Step 3: Cross multiply
    12,288x = 18,420.96 × 4,495.20
  4. Step 4: Simplify right side
    12,288x = 82,805,899.39
  5. Step 5: Solve for x
    x = 82,805,899.39/12,288
  6. Step 6: Final answer
    x = 6,738.76

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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.