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Finding the Fourth Proportional to 3,172.66, 4,756.74 and 980.17

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Solution

The fourth proportional to 3,172.66, 4,756.74 and 980.17 is: 1,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.66 : 4,756.74 = 980.17 : x
  2. Step 2: Convert to fraction form
    3,172.66/4,756.74 = 980.17/x
  3. Step 3: Cross multiply
    3,172.66x = 4,756.74 × 980.17
  4. Step 4: Simplify right side
    3,172.66x = 4,662,413.85
  5. Step 5: Solve for x
    x = 4,662,413.85/3,172.66
  6. Step 6: Final answer
    x = 1,469.56

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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.