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Finding the Fourth Proportional to 3,311.80, 4,967.84 and 846.64

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Solution

The fourth proportional to 3,311.80, 4,967.84 and 846.64 is: 1,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.80 : 4,967.84 = 846.64 : x
  2. Step 2: Convert to fraction form
    3,311.80/4,967.84 = 846.64/x
  3. Step 3: Cross multiply
    3,311.80x = 4,967.84 × 846.64
  4. Step 4: Simplify right side
    3,311.80x = 4,205,972.06
  5. Step 5: Solve for x
    x = 4,205,972.06/3,311.80
  6. Step 6: Final answer
    x = 1,270.00

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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.