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Finding the Fourth Proportional to 6,381.36, 9,571.68 and 1,764

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Solution

The fourth proportional to 6,381.36, 9,571.68 and 1,764 is: 2,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.36 : 9,571.68 = 1,764 : x
  2. Step 2: Convert to fraction form
    6,381.36/9,571.68 = 1,764/x
  3. Step 3: Cross multiply
    6,381.36x = 9,571.68 × 1,764
  4. Step 4: Simplify right side
    6,381.36x = 16,884,443.52
  5. Step 5: Solve for x
    x = 16,884,443.52/6,381.36
  6. Step 6: Final answer
    x = 2,645.90

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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.