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Finding the Fourth Proportional to 7,965.50, 10,994.20 and 5,166.14

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Solution

The fourth proportional to 7,965.50, 10,994.20 and 5,166.14 is: 7,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.50 : 10,994.20 = 5,166.14 : x
  2. Step 2: Convert to fraction form
    7,965.50/10,994.20 = 5,166.14/x
  3. Step 3: Cross multiply
    7,965.50x = 10,994.20 × 5,166.14
  4. Step 4: Simplify right side
    7,965.50x = 56,797,508.50
  5. Step 5: Solve for x
    x = 56,797,508.50/7,965.50
  6. Step 6: Final answer
    x = 7,130.44

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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.