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Finding the Fourth Proportional to 2,922.63, 4,033.22 and 1,680.63

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Solution

The fourth proportional to 2,922.63, 4,033.22 and 1,680.63 is: 2,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.63 : 4,033.22 = 1,680.63 : x
  2. Step 2: Convert to fraction form
    2,922.63/4,033.22 = 1,680.63/x
  3. Step 3: Cross multiply
    2,922.63x = 4,033.22 × 1,680.63
  4. Step 4: Simplify right side
    2,922.63x = 6,778,350.53
  5. Step 5: Solve for x
    x = 6,778,350.53/2,922.63
  6. Step 6: Final answer
    x = 2,319.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.