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Finding the Fourth Proportional to 7,074.23, 9,763.85 and 4,089.92

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Solution

The fourth proportional to 7,074.23, 9,763.85 and 4,089.92 is: 5,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.23 : 9,763.85 = 4,089.92 : x
  2. Step 2: Convert to fraction form
    7,074.23/9,763.85 = 4,089.92/x
  3. Step 3: Cross multiply
    7,074.23x = 9,763.85 × 4,089.92
  4. Step 4: Simplify right side
    7,074.23x = 39,933,344.94
  5. Step 5: Solve for x
    x = 39,933,344.94/7,074.23
  6. Step 6: Final answer
    x = 5,644.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.