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Finding the Fourth Proportional to 15,141, 20,894.58 and 8,517

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Solution

The fourth proportional to 15,141, 20,894.58 and 8,517 is: 11,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141 : 20,894.58 = 8,517 : x
  2. Step 2: Convert to fraction form
    15,141/20,894.58 = 8,517/x
  3. Step 3: Cross multiply
    15,141x = 20,894.58 × 8,517
  4. Step 4: Simplify right side
    15,141x = 177,959,137.86
  5. Step 5: Solve for x
    x = 177,959,137.86/15,141
  6. Step 6: Final answer
    x = 11,753.46

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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.