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Finding the Fourth Proportional to 4,240, 6,361.08 and 1,608.58

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Solution

The fourth proportional to 4,240, 6,361.08 and 1,608.58 is: 2,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240 : 6,361.08 = 1,608.58 : x
  2. Step 2: Convert to fraction form
    4,240/6,361.08 = 1,608.58/x
  3. Step 3: Cross multiply
    4,240x = 6,361.08 × 1,608.58
  4. Step 4: Simplify right side
    4,240x = 10,232,306.07
  5. Step 5: Solve for x
    x = 10,232,306.07/4,240
  6. Step 6: Final answer
    x = 2,413.28

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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.