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Finding the Fourth Proportional to 2,792.87, 4,189.51 and 845.23

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Solution

The fourth proportional to 2,792.87, 4,189.51 and 845.23 is: 1,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.87 : 4,189.51 = 845.23 : x
  2. Step 2: Convert to fraction form
    2,792.87/4,189.51 = 845.23/x
  3. Step 3: Cross multiply
    2,792.87x = 4,189.51 × 845.23
  4. Step 4: Simplify right side
    2,792.87x = 3,541,074.36
  5. Step 5: Solve for x
    x = 3,541,074.36/2,792.87
  6. Step 6: Final answer
    x = 1,267.90

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1.5x scale

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.