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Finding the Fourth Proportional to 11,137, 15,369.24 and 6,169

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Solution

The fourth proportional to 11,137, 15,369.24 and 6,169 is: 8,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137 : 15,369.24 = 6,169 : x
  2. Step 2: Convert to fraction form
    11,137/15,369.24 = 6,169/x
  3. Step 3: Cross multiply
    11,137x = 15,369.24 × 6,169
  4. Step 4: Simplify right side
    11,137x = 94,812,841.56
  5. Step 5: Solve for x
    x = 94,812,841.56/11,137
  6. Step 6: Final answer
    x = 8,513.32

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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.