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Finding the Fourth Proportional to 12,495.36, 17,242.92 and 6,906

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Solution

The fourth proportional to 12,495.36, 17,242.92 and 6,906 is: 9,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495.36 : 17,242.92 = 6,906 : x
  2. Step 2: Convert to fraction form
    12,495.36/17,242.92 = 6,906/x
  3. Step 3: Cross multiply
    12,495.36x = 17,242.92 × 6,906
  4. Step 4: Simplify right side
    12,495.36x = 119,079,605.52
  5. Step 5: Solve for x
    x = 119,079,605.52/12,495.36
  6. Step 6: Final answer
    x = 9,529.91

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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.