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Finding the Fourth Proportional to 2,234, 3,351 and 1,618.01

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Solution

The fourth proportional to 2,234, 3,351 and 1,618.01 is: 2,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234 : 3,351 = 1,618.01 : x
  2. Step 2: Convert to fraction form
    2,234/3,351 = 1,618.01/x
  3. Step 3: Cross multiply
    2,234x = 3,351 × 1,618.01
  4. Step 4: Simplify right side
    2,234x = 5,421,951.51
  5. Step 5: Solve for x
    x = 5,421,951.51/2,234
  6. Step 6: Final answer
    x = 2,427.02

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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.