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Finding the Fourth Proportional to 12,828.22, 17,702.76 and 7,163.06

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Solution

The fourth proportional to 12,828.22, 17,702.76 and 7,163.06 is: 9,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.22 : 17,702.76 = 7,163.06 : x
  2. Step 2: Convert to fraction form
    12,828.22/17,702.76 = 7,163.06/x
  3. Step 3: Cross multiply
    12,828.22x = 17,702.76 × 7,163.06
  4. Step 4: Simplify right side
    12,828.22x = 126,805,843.53
  5. Step 5: Solve for x
    x = 126,805,843.53/12,828.22
  6. Step 6: Final answer
    x = 9,884.92

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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.