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Finding the Fourth Proportional to 18,653.31, 27,962.37 and 9,284.47

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Solution

The fourth proportional to 18,653.31, 27,962.37 and 9,284.47 is: 13,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653.31 : 27,962.37 = 9,284.47 : x
  2. Step 2: Convert to fraction form
    18,653.31/27,962.37 = 9,284.47/x
  3. Step 3: Cross multiply
    18,653.31x = 27,962.37 × 9,284.47
  4. Step 4: Simplify right side
    18,653.31x = 259,615,738.70
  5. Step 5: Solve for x
    x = 259,615,738.70/18,653.31
  6. Step 6: Final answer
    x = 13,917.95

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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.