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Finding the Fourth Proportional to 1,821.62, 2,733.30 and 896.67

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Solution

The fourth proportional to 1,821.62, 2,733.30 and 896.67 is: 1,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.62 : 2,733.30 = 896.67 : x
  2. Step 2: Convert to fraction form
    1,821.62/2,733.30 = 896.67/x
  3. Step 3: Cross multiply
    1,821.62x = 2,733.30 × 896.67
  4. Step 4: Simplify right side
    1,821.62x = 2,450,868.11
  5. Step 5: Solve for x
    x = 2,450,868.11/1,821.62
  6. Step 6: Final answer
    x = 1,345.44

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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.