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Finding the Fourth Proportional to 4,940.70, 7,402.95 and 4,211.70

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Solution

The fourth proportional to 4,940.70, 7,402.95 and 4,211.70 is: 6,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.70 : 7,402.95 = 4,211.70 : x
  2. Step 2: Convert to fraction form
    4,940.70/7,402.95 = 4,211.70/x
  3. Step 3: Cross multiply
    4,940.70x = 7,402.95 × 4,211.70
  4. Step 4: Simplify right side
    4,940.70x = 31,179,004.52
  5. Step 5: Solve for x
    x = 31,179,004.52/4,940.70
  6. Step 6: Final answer
    x = 6,310.65

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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.