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Finding the Fourth Proportional to 15,172, 20,935.36 and 8,456.84

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Solution

The fourth proportional to 15,172, 20,935.36 and 8,456.84 is: 11,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172 : 20,935.36 = 8,456.84 : x
  2. Step 2: Convert to fraction form
    15,172/20,935.36 = 8,456.84/x
  3. Step 3: Cross multiply
    15,172x = 20,935.36 × 8,456.84
  4. Step 4: Simplify right side
    15,172x = 177,046,989.86
  5. Step 5: Solve for x
    x = 177,046,989.86/15,172
  6. Step 6: Final answer
    x = 11,669.32

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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.