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Finding the Fourth Proportional to 11,369, 15,690.66 and 6,401

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Solution

The fourth proportional to 11,369, 15,690.66 and 6,401 is: 8,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369 : 15,690.66 = 6,401 : x
  2. Step 2: Convert to fraction form
    11,369/15,690.66 = 6,401/x
  3. Step 3: Cross multiply
    11,369x = 15,690.66 × 6,401
  4. Step 4: Simplify right side
    11,369x = 100,435,914.66
  5. Step 5: Solve for x
    x = 100,435,914.66/11,369
  6. Step 6: Final answer
    x = 8,834.19

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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.