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Finding the Fourth Proportional to 5,586.56, 8,379.84 and 1,936

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Solution

The fourth proportional to 5,586.56, 8,379.84 and 1,936 is: 2,904

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.56 : 8,379.84 = 1,936 : x
  2. Step 2: Convert to fraction form
    5,586.56/8,379.84 = 1,936/x
  3. Step 3: Cross multiply
    5,586.56x = 8,379.84 × 1,936
  4. Step 4: Simplify right side
    5,586.56x = 16,223,370.24
  5. Step 5: Solve for x
    x = 16,223,370.24/5,586.56
  6. Step 6: Final answer
    x = 2,904

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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.