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Finding the Fourth Proportional to 6,381.72, 9,573.95 and 1,939

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Solution

The fourth proportional to 6,381.72, 9,573.95 and 1,939 is: 2,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.72 : 9,573.95 = 1,939 : x
  2. Step 2: Convert to fraction form
    6,381.72/9,573.95 = 1,939/x
  3. Step 3: Cross multiply
    6,381.72x = 9,573.95 × 1,939
  4. Step 4: Simplify right side
    6,381.72x = 18,563,889.05
  5. Step 5: Solve for x
    x = 18,563,889.05/6,381.72
  6. Step 6: Final answer
    x = 2,908.92

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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.