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Finding the Fourth Proportional to 2,609.65, 3,914.40 and 1,049.17

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Solution

The fourth proportional to 2,609.65, 3,914.40 and 1,049.17 is: 1,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.65 : 3,914.40 = 1,049.17 : x
  2. Step 2: Convert to fraction form
    2,609.65/3,914.40 = 1,049.17/x
  3. Step 3: Cross multiply
    2,609.65x = 3,914.40 × 1,049.17
  4. Step 4: Simplify right side
    2,609.65x = 4,106,871.05
  5. Step 5: Solve for x
    x = 4,106,871.05/2,609.65
  6. Step 6: Final answer
    x = 1,573.72

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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.