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Finding the Fourth Proportional to 2,608.74, 3,907.90 and 1,568.18

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Solution

The fourth proportional to 2,608.74, 3,907.90 and 1,568.18 is: 2,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.74 : 3,907.90 = 1,568.18 : x
  2. Step 2: Convert to fraction form
    2,608.74/3,907.90 = 1,568.18/x
  3. Step 3: Cross multiply
    2,608.74x = 3,907.90 × 1,568.18
  4. Step 4: Simplify right side
    2,608.74x = 6,128,296.47
  5. Step 5: Solve for x
    x = 6,128,296.47/2,608.74
  6. Step 6: Final answer
    x = 2,349.14

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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.