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Finding the Fourth Proportional to 13,796.40, 19,038.72 and 7,508.64

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Solution

The fourth proportional to 13,796.40, 19,038.72 and 7,508.64 is: 10,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.40 : 19,038.72 = 7,508.64 : x
  2. Step 2: Convert to fraction form
    13,796.40/19,038.72 = 7,508.64/x
  3. Step 3: Cross multiply
    13,796.40x = 19,038.72 × 7,508.64
  4. Step 4: Simplify right side
    13,796.40x = 142,954,894.54
  5. Step 5: Solve for x
    x = 142,954,894.54/13,796.40
  6. Step 6: Final answer
    x = 10,361.75

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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.