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Finding the Fourth Proportional to 1,821.83, 2,733.19 and 589.30

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Solution

The fourth proportional to 1,821.83, 2,733.19 and 589.30 is: 884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.83 : 2,733.19 = 589.30 : x
  2. Step 2: Convert to fraction form
    1,821.83/2,733.19 = 589.30/x
  3. Step 3: Cross multiply
    1,821.83x = 2,733.19 × 589.30
  4. Step 4: Simplify right side
    1,821.83x = 1,610,660.56
  5. Step 5: Solve for x
    x = 1,610,660.56/1,821.83
  6. Step 6: Final answer
    x = 884.09

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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.