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Finding the Fourth Proportional to 12,733.84, 19,078.16 and 5,321.96

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Solution

The fourth proportional to 12,733.84, 19,078.16 and 5,321.96 is: 7,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.84 : 19,078.16 = 5,321.96 : x
  2. Step 2: Convert to fraction form
    12,733.84/19,078.16 = 5,321.96/x
  3. Step 3: Cross multiply
    12,733.84x = 19,078.16 × 5,321.96
  4. Step 4: Simplify right side
    12,733.84x = 101,533,204.39
  5. Step 5: Solve for x
    x = 101,533,204.39/12,733.84
  6. Step 6: Final answer
    x = 7,973.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.