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Finding the Fourth Proportional to 13,702.69, 20,556.18 and 5,805.22

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Solution

The fourth proportional to 13,702.69, 20,556.18 and 5,805.22 is: 8,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.69 : 20,556.18 = 5,805.22 : x
  2. Step 2: Convert to fraction form
    13,702.69/20,556.18 = 5,805.22/x
  3. Step 3: Cross multiply
    13,702.69x = 20,556.18 × 5,805.22
  4. Step 4: Simplify right side
    13,702.69x = 119,333,147.26
  5. Step 5: Solve for x
    x = 119,333,147.26/13,702.69
  6. Step 6: Final answer
    x = 8,708.74

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