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Finding the Fourth Proportional to 4,900.76, 7,351.13 and 1,979.03

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Solution

The fourth proportional to 4,900.76, 7,351.13 and 1,979.03 is: 2,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.76 : 7,351.13 = 1,979.03 : x
  2. Step 2: Convert to fraction form
    4,900.76/7,351.13 = 1,979.03/x
  3. Step 3: Cross multiply
    4,900.76x = 7,351.13 × 1,979.03
  4. Step 4: Simplify right side
    4,900.76x = 14,548,096.91
  5. Step 5: Solve for x
    x = 14,548,096.91/4,900.76
  6. Step 6: Final answer
    x = 2,968.54

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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.