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Finding the Fourth Proportional to 1,990.68, 2,744.22 and 1,783.32

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Solution

The fourth proportional to 1,990.68, 2,744.22 and 1,783.32 is: 2,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.68 : 2,744.22 = 1,783.32 : x
  2. Step 2: Convert to fraction form
    1,990.68/2,744.22 = 1,783.32/x
  3. Step 3: Cross multiply
    1,990.68x = 2,744.22 × 1,783.32
  4. Step 4: Simplify right side
    1,990.68x = 4,893,822.41
  5. Step 5: Solve for x
    x = 4,893,822.41/1,990.68
  6. Step 6: Final answer
    x = 2,458.37

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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.