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Finding the Fourth Proportional to 2,629.24, 3,943.77 and 654.88

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Solution

The fourth proportional to 2,629.24, 3,943.77 and 654.88 is: 982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.24 : 3,943.77 = 654.88 : x
  2. Step 2: Convert to fraction form
    2,629.24/3,943.77 = 654.88/x
  3. Step 3: Cross multiply
    2,629.24x = 3,943.77 × 654.88
  4. Step 4: Simplify right side
    2,629.24x = 2,582,696.10
  5. Step 5: Solve for x
    x = 2,582,696.10/2,629.24
  6. Step 6: Final answer
    x = 982.30

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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.