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Finding the Fourth Proportional to 2,137.68, 3,205.74 and 905.19

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Solution

The fourth proportional to 2,137.68, 3,205.74 and 905.19 is: 1,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.68 : 3,205.74 = 905.19 : x
  2. Step 2: Convert to fraction form
    2,137.68/3,205.74 = 905.19/x
  3. Step 3: Cross multiply
    2,137.68x = 3,205.74 × 905.19
  4. Step 4: Simplify right side
    2,137.68x = 2,901,803.79
  5. Step 5: Solve for x
    x = 2,901,803.79/2,137.68
  6. Step 6: Final answer
    x = 1,357.45

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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.