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Finding the Fourth Proportional to 13,756.48, 18,984.24 and 8,448.24

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Solution

The fourth proportional to 13,756.48, 18,984.24 and 8,448.24 is: 11,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.48 : 18,984.24 = 8,448.24 : x
  2. Step 2: Convert to fraction form
    13,756.48/18,984.24 = 8,448.24/x
  3. Step 3: Cross multiply
    13,756.48x = 18,984.24 × 8,448.24
  4. Step 4: Simplify right side
    13,756.48x = 160,383,415.74
  5. Step 5: Solve for x
    x = 160,383,415.74/13,756.48
  6. Step 6: Final answer
    x = 11,658.75

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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.