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Finding the Fourth Proportional to 13,870.44, 20,791.08 and 7,294.86

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Solution

The fourth proportional to 13,870.44, 20,791.08 and 7,294.86 is: 10,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.44 : 20,791.08 = 7,294.86 : x
  2. Step 2: Convert to fraction form
    13,870.44/20,791.08 = 7,294.86/x
  3. Step 3: Cross multiply
    13,870.44x = 20,791.08 × 7,294.86
  4. Step 4: Simplify right side
    13,870.44x = 151,668,017.85
  5. Step 5: Solve for x
    x = 151,668,017.85/13,870.44
  6. Step 6: Final answer
    x = 10,934.62

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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.