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Finding the Fourth Proportional to 13,736.34, 20,590.59 and 5,413.11

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Solution

The fourth proportional to 13,736.34, 20,590.59 and 5,413.11 is: 8,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.34 : 20,590.59 = 5,413.11 : x
  2. Step 2: Convert to fraction form
    13,736.34/20,590.59 = 5,413.11/x
  3. Step 3: Cross multiply
    13,736.34x = 20,590.59 × 5,413.11
  4. Step 4: Simplify right side
    13,736.34x = 111,459,128.63
  5. Step 5: Solve for x
    x = 111,459,128.63/13,736.34
  6. Step 6: Final answer
    x = 8,114.18

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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.