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Finding the Fourth Proportional to 2,205.01, 3,039.51 and 1,644.63

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Solution

The fourth proportional to 2,205.01, 3,039.51 and 1,644.63 is: 2,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.01 : 3,039.51 = 1,644.63 : x
  2. Step 2: Convert to fraction form
    2,205.01/3,039.51 = 1,644.63/x
  3. Step 3: Cross multiply
    2,205.01x = 3,039.51 × 1,644.63
  4. Step 4: Simplify right side
    2,205.01x = 4,998,869.33
  5. Step 5: Solve for x
    x = 4,998,869.33/2,205.01
  6. Step 6: Final answer
    x = 2,267.05

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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.