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Finding the Fourth Proportional to 13,867.19, 19,133.70 and 8,202.25

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Solution

The fourth proportional to 13,867.19, 19,133.70 and 8,202.25 is: 11,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.19 : 19,133.70 = 8,202.25 : x
  2. Step 2: Convert to fraction form
    13,867.19/19,133.70 = 8,202.25/x
  3. Step 3: Cross multiply
    13,867.19x = 19,133.70 × 8,202.25
  4. Step 4: Simplify right side
    13,867.19x = 156,939,295.16
  5. Step 5: Solve for x
    x = 156,939,295.16/13,867.19
  6. Step 6: Final answer
    x = 11,317.31

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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.