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Finding the Fourth Proportional to 15,137, 20,890.80 and 8,849

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Solution

The fourth proportional to 15,137, 20,890.80 and 8,849 is: 12,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137 : 20,890.80 = 8,849 : x
  2. Step 2: Convert to fraction form
    15,137/20,890.80 = 8,849/x
  3. Step 3: Cross multiply
    15,137x = 20,890.80 × 8,849
  4. Step 4: Simplify right side
    15,137x = 184,862,689.20
  5. Step 5: Solve for x
    x = 184,862,689.20/15,137
  6. Step 6: Final answer
    x = 12,212.64

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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.