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Finding the Fourth Proportional to 14,033.12, 19,366.24 and 7,745.28

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Solution

The fourth proportional to 14,033.12, 19,366.24 and 7,745.28 is: 10,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.12 : 19,366.24 = 7,745.28 : x
  2. Step 2: Convert to fraction form
    14,033.12/19,366.24 = 7,745.28/x
  3. Step 3: Cross multiply
    14,033.12x = 19,366.24 × 7,745.28
  4. Step 4: Simplify right side
    14,033.12x = 149,996,951.35
  5. Step 5: Solve for x
    x = 149,996,951.35/14,033.12
  6. Step 6: Final answer
    x = 10,688.78

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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.