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Finding the Fourth Proportional to 25,284, 37,943.28 and 8,868

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Solution

The fourth proportional to 25,284, 37,943.28 and 8,868 is: 13,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284 : 37,943.28 = 8,868 : x
  2. Step 2: Convert to fraction form
    25,284/37,943.28 = 8,868/x
  3. Step 3: Cross multiply
    25,284x = 37,943.28 × 8,868
  4. Step 4: Simplify right side
    25,284x = 336,481,007.04
  5. Step 5: Solve for x
    x = 336,481,007.04/25,284
  6. Step 6: Final answer
    x = 13,308.06

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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.