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Finding the Fourth Proportional to 3,292, 4,938 and 983.44

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Solution

The fourth proportional to 3,292, 4,938 and 983.44 is: 1,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292 : 4,938 = 983.44 : x
  2. Step 2: Convert to fraction form
    3,292/4,938 = 983.44/x
  3. Step 3: Cross multiply
    3,292x = 4,938 × 983.44
  4. Step 4: Simplify right side
    3,292x = 4,856,226.72
  5. Step 5: Solve for x
    x = 4,856,226.72/3,292
  6. Step 6: Final answer
    x = 1,475.16

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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.