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Finding the Fourth Proportional to 12,543.36, 17,309.04 and 6,954

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Solution

The fourth proportional to 12,543.36, 17,309.04 and 6,954 is: 9,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.36 : 17,309.04 = 6,954 : x
  2. Step 2: Convert to fraction form
    12,543.36/17,309.04 = 6,954/x
  3. Step 3: Cross multiply
    12,543.36x = 17,309.04 × 6,954
  4. Step 4: Simplify right side
    12,543.36x = 120,367,064.16
  5. Step 5: Solve for x
    x = 120,367,064.16/12,543.36
  6. Step 6: Final answer
    x = 9,596.08

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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.