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Finding the Fourth Proportional to 12,412, 17,128.62 and 6,823

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Solution

The fourth proportional to 12,412, 17,128.62 and 6,823 is: 9,415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412 : 17,128.62 = 6,823 : x
  2. Step 2: Convert to fraction form
    12,412/17,128.62 = 6,823/x
  3. Step 3: Cross multiply
    12,412x = 17,128.62 × 6,823
  4. Step 4: Simplify right side
    12,412x = 116,868,574.26
  5. Step 5: Solve for x
    x = 116,868,574.26/12,412
  6. Step 6: Final answer
    x = 9,415.77

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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.