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Finding the Fourth Proportional to 9,181.15, 12,669.74 and 5,202.16

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Solution

The fourth proportional to 9,181.15, 12,669.74 and 5,202.16 is: 7,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.15 : 12,669.74 = 5,202.16 : x
  2. Step 2: Convert to fraction form
    9,181.15/12,669.74 = 5,202.16/x
  3. Step 3: Cross multiply
    9,181.15x = 12,669.74 × 5,202.16
  4. Step 4: Simplify right side
    9,181.15x = 65,910,014.64
  5. Step 5: Solve for x
    x = 65,910,014.64/9,181.15
  6. Step 6: Final answer
    x = 7,178.84

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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.