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Finding the Fourth Proportional to 1,890.96, 2,836.21 and 504.40

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Solution

The fourth proportional to 1,890.96, 2,836.21 and 504.40 is: 756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.96 : 2,836.21 = 504.40 : x
  2. Step 2: Convert to fraction form
    1,890.96/2,836.21 = 504.40/x
  3. Step 3: Cross multiply
    1,890.96x = 2,836.21 × 504.40
  4. Step 4: Simplify right side
    1,890.96x = 1,430,584.32
  5. Step 5: Solve for x
    x = 1,430,584.32/1,890.96
  6. Step 6: Final answer
    x = 756.54

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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.