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Finding the Fourth Proportional to 1,861.96, 2,793.42 and 1,315.21

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Solution

The fourth proportional to 1,861.96, 2,793.42 and 1,315.21 is: 1,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.96 : 2,793.42 = 1,315.21 : x
  2. Step 2: Convert to fraction form
    1,861.96/2,793.42 = 1,315.21/x
  3. Step 3: Cross multiply
    1,861.96x = 2,793.42 × 1,315.21
  4. Step 4: Simplify right side
    1,861.96x = 3,673,933.92
  5. Step 5: Solve for x
    x = 3,673,933.92/1,861.96
  6. Step 6: Final answer
    x = 1,973.15

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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.