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Finding the Fourth Proportional to 13,186, 18,196.68 and 7,298

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Solution

The fourth proportional to 13,186, 18,196.68 and 7,298 is: 10,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186 : 18,196.68 = 7,298 : x
  2. Step 2: Convert to fraction form
    13,186/18,196.68 = 7,298/x
  3. Step 3: Cross multiply
    13,186x = 18,196.68 × 7,298
  4. Step 4: Simplify right side
    13,186x = 132,799,370.64
  5. Step 5: Solve for x
    x = 132,799,370.64/13,186
  6. Step 6: Final answer
    x = 10,071.24

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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.