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Finding the Fourth Proportional to 13,394, 20,099.64 and 5,186

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Solution

The fourth proportional to 13,394, 20,099.64 and 5,186 is: 7,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394 : 20,099.64 = 5,186 : x
  2. Step 2: Convert to fraction form
    13,394/20,099.64 = 5,186/x
  3. Step 3: Cross multiply
    13,394x = 20,099.64 × 5,186
  4. Step 4: Simplify right side
    13,394x = 104,236,733.04
  5. Step 5: Solve for x
    x = 104,236,733.04/13,394
  6. Step 6: Final answer
    x = 7,782.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.