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Finding the Fourth Proportional to 11,702.06, 16,149.16 and 7,164.66

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Solution

The fourth proportional to 11,702.06, 16,149.16 and 7,164.66 is: 9,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.06 : 16,149.16 = 7,164.66 : x
  2. Step 2: Convert to fraction form
    11,702.06/16,149.16 = 7,164.66/x
  3. Step 3: Cross multiply
    11,702.06x = 16,149.16 × 7,164.66
  4. Step 4: Simplify right side
    11,702.06x = 115,703,240.69
  5. Step 5: Solve for x
    x = 115,703,240.69/11,702.06
  6. Step 6: Final answer
    x = 9,887.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.