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Finding the Fourth Proportional to 15,189.76, 20,966.94 and 8,902

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Solution

The fourth proportional to 15,189.76, 20,966.94 and 8,902 is: 12,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189.76 : 20,966.94 = 8,902 : x
  2. Step 2: Convert to fraction form
    15,189.76/20,966.94 = 8,902/x
  3. Step 3: Cross multiply
    15,189.76x = 20,966.94 × 8,902
  4. Step 4: Simplify right side
    15,189.76x = 186,647,699.88
  5. Step 5: Solve for x
    x = 186,647,699.88/15,189.76
  6. Step 6: Final answer
    x = 12,287.73

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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.