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Finding the Fourth Proportional to 2,641.81, 3,645.80 and 1,593.67

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Solution

The fourth proportional to 2,641.81, 3,645.80 and 1,593.67 is: 2,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.81 : 3,645.80 = 1,593.67 : x
  2. Step 2: Convert to fraction form
    2,641.81/3,645.80 = 1,593.67/x
  3. Step 3: Cross multiply
    2,641.81x = 3,645.80 × 1,593.67
  4. Step 4: Simplify right side
    2,641.81x = 5,810,202.09
  5. Step 5: Solve for x
    x = 5,810,202.09/2,641.81
  6. Step 6: Final answer
    x = 2,199.33

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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.