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Finding the Fourth Proportional to 9,181.50, 13,774.41 and 3,025.50

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Solution

The fourth proportional to 9,181.50, 13,774.41 and 3,025.50 is: 4,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.50 : 13,774.41 = 3,025.50 : x
  2. Step 2: Convert to fraction form
    9,181.50/13,774.41 = 3,025.50/x
  3. Step 3: Cross multiply
    9,181.50x = 13,774.41 × 3,025.50
  4. Step 4: Simplify right side
    9,181.50x = 41,674,477.46
  5. Step 5: Solve for x
    x = 41,674,477.46/9,181.50
  6. Step 6: Final answer
    x = 4,538.96

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Why These Related Problems?

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