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Finding the Fourth Proportional to 13,691.64, 18,894.45 and 7,404

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Solution

The fourth proportional to 13,691.64, 18,894.45 and 7,404 is: 10,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.64 : 18,894.45 = 7,404 : x
  2. Step 2: Convert to fraction form
    13,691.64/18,894.45 = 7,404/x
  3. Step 3: Cross multiply
    13,691.64x = 18,894.45 × 7,404
  4. Step 4: Simplify right side
    13,691.64x = 139,894,507.80
  5. Step 5: Solve for x
    x = 139,894,507.80/13,691.64
  6. Step 6: Final answer
    x = 10,217.51

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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.