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Finding the Fourth Proportional to 13,767.17, 20,642.55 and 5,448.36

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Solution

The fourth proportional to 13,767.17, 20,642.55 and 5,448.36 is: 8,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.17 : 20,642.55 = 5,448.36 : x
  2. Step 2: Convert to fraction form
    13,767.17/20,642.55 = 5,448.36/x
  3. Step 3: Cross multiply
    13,767.17x = 20,642.55 × 5,448.36
  4. Step 4: Simplify right side
    13,767.17x = 112,468,100.70
  5. Step 5: Solve for x
    x = 112,468,100.70/13,767.17
  6. Step 6: Final answer
    x = 8,169.30

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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.