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Finding the Fourth Proportional to 13,844.44, 19,104.72 and 7,875.40

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Solution

The fourth proportional to 13,844.44, 19,104.72 and 7,875.40 is: 10,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.44 : 19,104.72 = 7,875.40 : x
  2. Step 2: Convert to fraction form
    13,844.44/19,104.72 = 7,875.40/x
  3. Step 3: Cross multiply
    13,844.44x = 19,104.72 × 7,875.40
  4. Step 4: Simplify right side
    13,844.44x = 150,457,311.89
  5. Step 5: Solve for x
    x = 150,457,311.89/13,844.44
  6. Step 6: Final answer
    x = 10,867.71

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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.