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Finding the Fourth Proportional to 6,543.36, 9,788.04 and 4,199.76

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Solution

The fourth proportional to 6,543.36, 9,788.04 and 4,199.76 is: 6,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.36 : 9,788.04 = 4,199.76 : x
  2. Step 2: Convert to fraction form
    6,543.36/9,788.04 = 4,199.76/x
  3. Step 3: Cross multiply
    6,543.36x = 9,788.04 × 4,199.76
  4. Step 4: Simplify right side
    6,543.36x = 41,107,418.87
  5. Step 5: Solve for x
    x = 41,107,418.87/6,543.36
  6. Step 6: Final answer
    x = 6,282.31

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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.