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Finding the Fourth Proportional to 2,045.00, 3,065.11 and 874.67

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Solution

The fourth proportional to 2,045.00, 3,065.11 and 874.67 is: 1,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.00 : 3,065.11 = 874.67 : x
  2. Step 2: Convert to fraction form
    2,045.00/3,065.11 = 874.67/x
  3. Step 3: Cross multiply
    2,045.00x = 3,065.11 × 874.67
  4. Step 4: Simplify right side
    2,045.00x = 2,680,942.25
  5. Step 5: Solve for x
    x = 2,680,942.25/2,045.00
  6. Step 6: Final answer
    x = 1,310.97

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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.