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Finding the Fourth Proportional to 7,116.53, 9,821.12 and 4,092.62

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Solution

The fourth proportional to 7,116.53, 9,821.12 and 4,092.62 is: 5,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.53 : 9,821.12 = 4,092.62 : x
  2. Step 2: Convert to fraction form
    7,116.53/9,821.12 = 4,092.62/x
  3. Step 3: Cross multiply
    7,116.53x = 9,821.12 × 4,092.62
  4. Step 4: Simplify right side
    7,116.53x = 40,194,042.57
  5. Step 5: Solve for x
    x = 40,194,042.57/7,116.53
  6. Step 6: Final answer
    x = 5,647.99

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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.