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Finding the Fourth Proportional to 11,782.48, 17,642.16 and 6,224.32

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Solution

The fourth proportional to 11,782.48, 17,642.16 and 6,224.32 is: 9,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.48 : 17,642.16 = 6,224.32 : x
  2. Step 2: Convert to fraction form
    11,782.48/17,642.16 = 6,224.32/x
  3. Step 3: Cross multiply
    11,782.48x = 17,642.16 × 6,224.32
  4. Step 4: Simplify right side
    11,782.48x = 109,810,449.33
  5. Step 5: Solve for x
    x = 109,810,449.33/11,782.48
  6. Step 6: Final answer
    x = 9,319.81

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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.