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Finding the Fourth Proportional to 13,792.48, 19,033.68 and 8,203.36

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Solution

The fourth proportional to 13,792.48, 19,033.68 and 8,203.36 is: 11,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.48 : 19,033.68 = 8,203.36 : x
  2. Step 2: Convert to fraction form
    13,792.48/19,033.68 = 8,203.36/x
  3. Step 3: Cross multiply
    13,792.48x = 19,033.68 × 8,203.36
  4. Step 4: Simplify right side
    13,792.48x = 156,140,129.16
  5. Step 5: Solve for x
    x = 156,140,129.16/13,792.48
  6. Step 6: Final answer
    x = 11,320.67

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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.