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Finding the Fourth Proportional to 12,288, 18,419.28 and 4,889.28

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Solution

The fourth proportional to 12,288, 18,419.28 and 4,889.28 is: 7,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288 : 18,419.28 = 4,889.28 : x
  2. Step 2: Convert to fraction form
    12,288/18,419.28 = 4,889.28/x
  3. Step 3: Cross multiply
    12,288x = 18,419.28 × 4,889.28
  4. Step 4: Simplify right side
    12,288x = 90,057,017.32
  5. Step 5: Solve for x
    x = 90,057,017.32/12,288
  6. Step 6: Final answer
    x = 7,328.86

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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.