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Finding the Fourth Proportional to 8,617.75, 11,888.49 and 5,632.48

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Solution

The fourth proportional to 8,617.75, 11,888.49 and 5,632.48 is: 7,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.75 : 11,888.49 = 5,632.48 : x
  2. Step 2: Convert to fraction form
    8,617.75/11,888.49 = 5,632.48/x
  3. Step 3: Cross multiply
    8,617.75x = 11,888.49 × 5,632.48
  4. Step 4: Simplify right side
    8,617.75x = 66,961,682.16
  5. Step 5: Solve for x
    x = 66,961,682.16/8,617.75
  6. Step 6: Final answer
    x = 7,770.20

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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.