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Finding the Fourth Proportional to 13,175, 18,084.66 and 11,649.48

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Solution

The fourth proportional to 13,175, 18,084.66 and 11,649.48 is: 15,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175 : 18,084.66 = 11,649.48 : x
  2. Step 2: Convert to fraction form
    13,175/18,084.66 = 11,649.48/x
  3. Step 3: Cross multiply
    13,175x = 18,084.66 × 11,649.48
  4. Step 4: Simplify right side
    13,175x = 210,676,884.98
  5. Step 5: Solve for x
    x = 210,676,884.98/13,175
  6. Step 6: Final answer
    x = 15,990.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.