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Finding the Fourth Proportional to 14,351.51, 21,507.21 and 6,954

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Solution

The fourth proportional to 14,351.51, 21,507.21 and 6,954 is: 10,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.51 : 21,507.21 = 6,954 : x
  2. Step 2: Convert to fraction form
    14,351.51/21,507.21 = 6,954/x
  3. Step 3: Cross multiply
    14,351.51x = 21,507.21 × 6,954
  4. Step 4: Simplify right side
    14,351.51x = 149,561,138.34
  5. Step 5: Solve for x
    x = 149,561,138.34/14,351.51
  6. Step 6: Final answer
    x = 10,421.29

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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.