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Finding the Fourth Proportional to 12,992.67, 19,492.25 and 5,201.28

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Solution

The fourth proportional to 12,992.67, 19,492.25 and 5,201.28 is: 7,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.67 : 19,492.25 = 5,201.28 : x
  2. Step 2: Convert to fraction form
    12,992.67/19,492.25 = 5,201.28/x
  3. Step 3: Cross multiply
    12,992.67x = 19,492.25 × 5,201.28
  4. Step 4: Simplify right side
    12,992.67x = 101,384,624.07
  5. Step 5: Solve for x
    x = 101,384,624.07/12,992.67
  6. Step 6: Final answer
    x = 7,803.22

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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.