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Finding the Fourth Proportional to 3,293.50, 4,940.26 and 985

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Solution

The fourth proportional to 3,293.50, 4,940.26 and 985 is: 1,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.50 : 4,940.26 = 985 : x
  2. Step 2: Convert to fraction form
    3,293.50/4,940.26 = 985/x
  3. Step 3: Cross multiply
    3,293.50x = 4,940.26 × 985
  4. Step 4: Simplify right side
    3,293.50x = 4,866,156.10
  5. Step 5: Solve for x
    x = 4,866,156.10/3,293.50
  6. Step 6: Final answer
    x = 1,477.50

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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.