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Finding the Fourth Proportional to 4,728, 7,093.35 and 1,608.69

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Solution

The fourth proportional to 4,728, 7,093.35 and 1,608.69 is: 2,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728 : 7,093.35 = 1,608.69 : x
  2. Step 2: Convert to fraction form
    4,728/7,093.35 = 1,608.69/x
  3. Step 3: Cross multiply
    4,728x = 7,093.35 × 1,608.69
  4. Step 4: Simplify right side
    4,728x = 11,411,001.21
  5. Step 5: Solve for x
    x = 11,411,001.21/4,728
  6. Step 6: Final answer
    x = 2,413.49

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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.