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Finding the Fourth Proportional to 4,501.78, 6,751.76 and 1,728.95

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Solution

The fourth proportional to 4,501.78, 6,751.76 and 1,728.95 is: 2,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.78 : 6,751.76 = 1,728.95 : x
  2. Step 2: Convert to fraction form
    4,501.78/6,751.76 = 1,728.95/x
  3. Step 3: Cross multiply
    4,501.78x = 6,751.76 × 1,728.95
  4. Step 4: Simplify right side
    4,501.78x = 11,673,413.05
  5. Step 5: Solve for x
    x = 11,673,413.05/4,501.78
  6. Step 6: Final answer
    x = 2,593.07

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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.