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Finding the Fourth Proportional to 3,899.39, 5,849.26 and 977.72

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Solution

The fourth proportional to 3,899.39, 5,849.26 and 977.72 is: 1,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.39 : 5,849.26 = 977.72 : x
  2. Step 2: Convert to fraction form
    3,899.39/5,849.26 = 977.72/x
  3. Step 3: Cross multiply
    3,899.39x = 5,849.26 × 977.72
  4. Step 4: Simplify right side
    3,899.39x = 5,718,906.80
  5. Step 5: Solve for x
    x = 5,718,906.80/3,899.39
  6. Step 6: Final answer
    x = 1,466.62

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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.