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Finding the Fourth Proportional to 1,898.05, 2,848.85 and 1,169.05

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Solution

The fourth proportional to 1,898.05, 2,848.85 and 1,169.05 is: 1,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.05 : 2,848.85 = 1,169.05 : x
  2. Step 2: Convert to fraction form
    1,898.05/2,848.85 = 1,169.05/x
  3. Step 3: Cross multiply
    1,898.05x = 2,848.85 × 1,169.05
  4. Step 4: Simplify right side
    1,898.05x = 3,330,448.09
  5. Step 5: Solve for x
    x = 3,330,448.09/1,898.05
  6. Step 6: Final answer
    x = 1,754.67

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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.