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Finding the Fourth Proportional to 8,632.10, 11,912 and 4,855.42

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Solution

The fourth proportional to 8,632.10, 11,912 and 4,855.42 is: 6,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.10 : 11,912 = 4,855.42 : x
  2. Step 2: Convert to fraction form
    8,632.10/11,912 = 4,855.42/x
  3. Step 3: Cross multiply
    8,632.10x = 11,912 × 4,855.42
  4. Step 4: Simplify right side
    8,632.10x = 57,837,763.04
  5. Step 5: Solve for x
    x = 57,837,763.04/8,632.10
  6. Step 6: Final answer
    x = 6,700.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.