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Finding the Fourth Proportional to 7,116.60, 10,675.98 and 3,418.14

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Solution

The fourth proportional to 7,116.60, 10,675.98 and 3,418.14 is: 5,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.60 : 10,675.98 = 3,418.14 : x
  2. Step 2: Convert to fraction form
    7,116.60/10,675.98 = 3,418.14/x
  3. Step 3: Cross multiply
    7,116.60x = 10,675.98 × 3,418.14
  4. Step 4: Simplify right side
    7,116.60x = 36,491,994.28
  5. Step 5: Solve for x
    x = 36,491,994.28/7,116.60
  6. Step 6: Final answer
    x = 5,127.73

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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.