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Finding the Fourth Proportional to 2,792.50, 4,190.67 and 968.50

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Solution

The fourth proportional to 2,792.50, 4,190.67 and 968.50 is: 1,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.50 : 4,190.67 = 968.50 : x
  2. Step 2: Convert to fraction form
    2,792.50/4,190.67 = 968.50/x
  3. Step 3: Cross multiply
    2,792.50x = 4,190.67 × 968.50
  4. Step 4: Simplify right side
    2,792.50x = 4,058,663.90
  5. Step 5: Solve for x
    x = 4,058,663.90/2,792.50
  6. Step 6: Final answer
    x = 1,453.42

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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.