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Finding the Fourth Proportional to 1,469.70, 2,026.74 and 1,189.74

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Solution

The fourth proportional to 1,469.70, 2,026.74 and 1,189.74 is: 1,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.70 : 2,026.74 = 1,189.74 : x
  2. Step 2: Convert to fraction form
    1,469.70/2,026.74 = 1,189.74/x
  3. Step 3: Cross multiply
    1,469.70x = 2,026.74 × 1,189.74
  4. Step 4: Simplify right side
    1,469.70x = 2,411,293.65
  5. Step 5: Solve for x
    x = 2,411,293.65/1,469.70
  6. Step 6: Final answer
    x = 1,640.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.