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Finding the Fourth Proportional to 7,490, 11,235 and 2,018

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Solution

The fourth proportional to 7,490, 11,235 and 2,018 is: 3,027

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490 : 11,235 = 2,018 : x
  2. Step 2: Convert to fraction form
    7,490/11,235 = 2,018/x
  3. Step 3: Cross multiply
    7,490x = 11,235 × 2,018
  4. Step 4: Simplify right side
    7,490x = 22,672,230
  5. Step 5: Solve for x
    x = 22,672,230/7,490
  6. Step 6: Final answer
    x = 3,027

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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.