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Finding the Fourth Proportional to 2,608.65, 3,912.90 and 1,048.17

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Solution

The fourth proportional to 2,608.65, 3,912.90 and 1,048.17 is: 1,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.65 : 3,912.90 = 1,048.17 : x
  2. Step 2: Convert to fraction form
    2,608.65/3,912.90 = 1,048.17/x
  3. Step 3: Cross multiply
    2,608.65x = 3,912.90 × 1,048.17
  4. Step 4: Simplify right side
    2,608.65x = 4,101,384.39
  5. Step 5: Solve for x
    x = 4,101,384.39/2,608.65
  6. Step 6: Final answer
    x = 1,572.22

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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.