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Finding the Fourth Proportional to 3,112.42, 4,666.98 and 920.83

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Solution

The fourth proportional to 3,112.42, 4,666.98 and 920.83 is: 1,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.42 : 4,666.98 = 920.83 : x
  2. Step 2: Convert to fraction form
    3,112.42/4,666.98 = 920.83/x
  3. Step 3: Cross multiply
    3,112.42x = 4,666.98 × 920.83
  4. Step 4: Simplify right side
    3,112.42x = 4,297,495.19
  5. Step 5: Solve for x
    x = 4,297,495.19/3,112.42
  6. Step 6: Final answer
    x = 1,380.76

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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.