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Finding the Fourth Proportional to 4,736.78, 7,105.31 and 1,449.80

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Solution

The fourth proportional to 4,736.78, 7,105.31 and 1,449.80 is: 2,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.78 : 7,105.31 = 1,449.80 : x
  2. Step 2: Convert to fraction form
    4,736.78/7,105.31 = 1,449.80/x
  3. Step 3: Cross multiply
    4,736.78x = 7,105.31 × 1,449.80
  4. Step 4: Simplify right side
    4,736.78x = 10,301,271.19
  5. Step 5: Solve for x
    x = 10,301,271.19/4,736.78
  6. Step 6: Final answer
    x = 2,174.74

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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.