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Finding the Fourth Proportional to 12,843.29, 17,722 and 7,177.33

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Solution

The fourth proportional to 12,843.29, 17,722 and 7,177.33 is: 9,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.29 : 17,722 = 7,177.33 : x
  2. Step 2: Convert to fraction form
    12,843.29/17,722 = 7,177.33/x
  3. Step 3: Cross multiply
    12,843.29x = 17,722 × 7,177.33
  4. Step 4: Simplify right side
    12,843.29x = 127,196,642.26
  5. Step 5: Solve for x
    x = 127,196,642.26/12,843.29
  6. Step 6: Final answer
    x = 9,903.74

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1.5x scale

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.