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Finding the Fourth Proportional to 13,729.90, 20,590.59 and 5,832.34

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Solution

The fourth proportional to 13,729.90, 20,590.59 and 5,832.34 is: 8,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.90 : 20,590.59 = 5,832.34 : x
  2. Step 2: Convert to fraction form
    13,729.90/20,590.59 = 5,832.34/x
  3. Step 3: Cross multiply
    13,729.90x = 20,590.59 × 5,832.34
  4. Step 4: Simplify right side
    13,729.90x = 120,091,321.68
  5. Step 5: Solve for x
    x = 120,091,321.68/13,729.90
  6. Step 6: Final answer
    x = 8,746.70

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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.