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Finding the Fourth Proportional to 15,311, 22,971.96 and 7,525.28

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Solution

The fourth proportional to 15,311, 22,971.96 and 7,525.28 is: 11,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311 : 22,971.96 = 7,525.28 : x
  2. Step 2: Convert to fraction form
    15,311/22,971.96 = 7,525.28/x
  3. Step 3: Cross multiply
    15,311x = 22,971.96 × 7,525.28
  4. Step 4: Simplify right side
    15,311x = 172,870,431.15
  5. Step 5: Solve for x
    x = 172,870,431.15/15,311
  6. Step 6: Final answer
    x = 11,290.60

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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.