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Finding the Fourth Proportional to 11,702.34, 17,549.86 and 3,909.33

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Solution

The fourth proportional to 11,702.34, 17,549.86 and 3,909.33 is: 5,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.34 : 17,549.86 = 3,909.33 : x
  2. Step 2: Convert to fraction form
    11,702.34/17,549.86 = 3,909.33/x
  3. Step 3: Cross multiply
    11,702.34x = 17,549.86 × 3,909.33
  4. Step 4: Simplify right side
    11,702.34x = 68,608,199.08
  5. Step 5: Solve for x
    x = 68,608,199.08/11,702.34
  6. Step 6: Final answer
    x = 5,862.78

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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.