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Finding the Fourth Proportional to 6,543, 9,816.12 and 1,926

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Solution

The fourth proportional to 6,543, 9,816.12 and 1,926 is: 2,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543 : 9,816.12 = 1,926 : x
  2. Step 2: Convert to fraction form
    6,543/9,816.12 = 1,926/x
  3. Step 3: Cross multiply
    6,543x = 9,816.12 × 1,926
  4. Step 4: Simplify right side
    6,543x = 18,905,847.12
  5. Step 5: Solve for x
    x = 18,905,847.12/6,543
  6. Step 6: Final answer
    x = 2,889.48

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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.