Home / 1,638.37-2,260.09-974.75

Finding the Fourth Proportional to 1,638.37, 2,260.09 and 974.75

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Solution

The fourth proportional to 1,638.37, 2,260.09 and 974.75 is: 1,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.37 : 2,260.09 = 974.75 : x
  2. Step 2: Convert to fraction form
    1,638.37/2,260.09 = 974.75/x
  3. Step 3: Cross multiply
    1,638.37x = 2,260.09 × 974.75
  4. Step 4: Simplify right side
    1,638.37x = 2,203,022.73
  5. Step 5: Solve for x
    x = 2,203,022.73/1,638.37
  6. Step 6: Final answer
    x = 1,344.64

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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.