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Finding the Fourth Proportional to 11,449.32, 17,173.02 and 7,775.16

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Solution

The fourth proportional to 11,449.32, 17,173.02 and 7,775.16 is: 11,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.32 : 17,173.02 = 7,775.16 : x
  2. Step 2: Convert to fraction form
    11,449.32/17,173.02 = 7,775.16/x
  3. Step 3: Cross multiply
    11,449.32x = 17,173.02 × 7,775.16
  4. Step 4: Simplify right side
    11,449.32x = 133,522,978.18
  5. Step 5: Solve for x
    x = 133,522,978.18/11,449.32
  6. Step 6: Final answer
    x = 11,662.09

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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.