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Finding the Fourth Proportional to 2,609.11, 3,913.71 and 1,049.28

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Solution

The fourth proportional to 2,609.11, 3,913.71 and 1,049.28 is: 1,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.11 : 3,913.71 = 1,049.28 : x
  2. Step 2: Convert to fraction form
    2,609.11/3,913.71 = 1,049.28/x
  3. Step 3: Cross multiply
    2,609.11x = 3,913.71 × 1,049.28
  4. Step 4: Simplify right side
    2,609.11x = 4,106,577.63
  5. Step 5: Solve for x
    x = 4,106,577.63/2,609.11
  6. Step 6: Final answer
    x = 1,573.94

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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.