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Finding the Fourth Proportional to 3,781.98, 5,671.23 and 1,589.51

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Solution

The fourth proportional to 3,781.98, 5,671.23 and 1,589.51 is: 2,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.98 : 5,671.23 = 1,589.51 : x
  2. Step 2: Convert to fraction form
    3,781.98/5,671.23 = 1,589.51/x
  3. Step 3: Cross multiply
    3,781.98x = 5,671.23 × 1,589.51
  4. Step 4: Simplify right side
    3,781.98x = 9,014,448.44
  5. Step 5: Solve for x
    x = 9,014,448.44/3,781.98
  6. Step 6: Final answer
    x = 2,383.53

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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.