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Finding the Fourth Proportional to 4,957.50, 7,439.13 and 2,221.50

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Solution

The fourth proportional to 4,957.50, 7,439.13 and 2,221.50 is: 3,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.50 : 7,439.13 = 2,221.50 : x
  2. Step 2: Convert to fraction form
    4,957.50/7,439.13 = 2,221.50/x
  3. Step 3: Cross multiply
    4,957.50x = 7,439.13 × 2,221.50
  4. Step 4: Simplify right side
    4,957.50x = 16,526,027.30
  5. Step 5: Solve for x
    x = 16,526,027.30/4,957.50
  6. Step 6: Final answer
    x = 3,333.54

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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.