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Finding the Fourth Proportional to 18,702.70, 27,989.25 and 17,927.80

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Solution

The fourth proportional to 18,702.70, 27,989.25 and 17,927.80 is: 26,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702.70 : 27,989.25 = 17,927.80 : x
  2. Step 2: Convert to fraction form
    18,702.70/27,989.25 = 17,927.80/x
  3. Step 3: Cross multiply
    18,702.70x = 27,989.25 × 17,927.80
  4. Step 4: Simplify right side
    18,702.70x = 501,785,676.15
  5. Step 5: Solve for x
    x = 501,785,676.15/18,702.70
  6. Step 6: Final answer
    x = 26,829.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.