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Finding the Fourth Proportional to 15,091, 20,825.60 and 8,467

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Solution

The fourth proportional to 15,091, 20,825.60 and 8,467 is: 11,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,091 : 20,825.60 = 8,467 : x
  2. Step 2: Convert to fraction form
    15,091/20,825.60 = 8,467/x
  3. Step 3: Cross multiply
    15,091x = 20,825.60 × 8,467
  4. Step 4: Simplify right side
    15,091x = 176,330,355.20
  5. Step 5: Solve for x
    x = 176,330,355.20/15,091
  6. Step 6: Final answer
    x = 11,684.47

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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.