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Finding the Fourth Proportional to 6,525.16, 9,786.72 and 2,142.58

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Solution

The fourth proportional to 6,525.16, 9,786.72 and 2,142.58 is: 3,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.16 : 9,786.72 = 2,142.58 : x
  2. Step 2: Convert to fraction form
    6,525.16/9,786.72 = 2,142.58/x
  3. Step 3: Cross multiply
    6,525.16x = 9,786.72 × 2,142.58
  4. Step 4: Simplify right side
    6,525.16x = 20,968,830.54
  5. Step 5: Solve for x
    x = 20,968,830.54/6,525.16
  6. Step 6: Final answer
    x = 3,213.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.