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Finding the Fourth Proportional to 13,014, 17,954.42 and 8,540.22

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Solution

The fourth proportional to 13,014, 17,954.42 and 8,540.22 is: 11,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014 : 17,954.42 = 8,540.22 : x
  2. Step 2: Convert to fraction form
    13,014/17,954.42 = 8,540.22/x
  3. Step 3: Cross multiply
    13,014x = 17,954.42 × 8,540.22
  4. Step 4: Simplify right side
    13,014x = 153,334,696.77
  5. Step 5: Solve for x
    x = 153,334,696.77/13,014
  6. Step 6: Final answer
    x = 11,782.29

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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.