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Finding the Fourth Proportional to 15,917, 21,963.48 and 8,842.52

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Solution

The fourth proportional to 15,917, 21,963.48 and 8,842.52 is: 12,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917 : 21,963.48 = 8,842.52 : x
  2. Step 2: Convert to fraction form
    15,917/21,963.48 = 8,842.52/x
  3. Step 3: Cross multiply
    15,917x = 21,963.48 × 8,842.52
  4. Step 4: Simplify right side
    15,917x = 194,212,511.17
  5. Step 5: Solve for x
    x = 194,212,511.17/15,917
  6. Step 6: Final answer
    x = 12,201.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.