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Finding the Fourth Proportional to 1,859.81, 2,790.21 and 820.03

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Solution

The fourth proportional to 1,859.81, 2,790.21 and 820.03 is: 1,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.81 : 2,790.21 = 820.03 : x
  2. Step 2: Convert to fraction form
    1,859.81/2,790.21 = 820.03/x
  3. Step 3: Cross multiply
    1,859.81x = 2,790.21 × 820.03
  4. Step 4: Simplify right side
    1,859.81x = 2,288,037.86
  5. Step 5: Solve for x
    x = 2,288,037.86/1,859.81
  6. Step 6: Final answer
    x = 1,230.25

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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.