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Finding the Fourth Proportional to 3,311.78, 4,967.49 and 846.50

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Solution

The fourth proportional to 3,311.78, 4,967.49 and 846.50 is: 1,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.78 : 4,967.49 = 846.50 : x
  2. Step 2: Convert to fraction form
    3,311.78/4,967.49 = 846.50/x
  3. Step 3: Cross multiply
    3,311.78x = 4,967.49 × 846.50
  4. Step 4: Simplify right side
    3,311.78x = 4,204,980.29
  5. Step 5: Solve for x
    x = 4,204,980.29/3,311.78
  6. Step 6: Final answer
    x = 1,269.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.