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Finding the Fourth Proportional to 2,906.70, 4,361.13 and 1,347.45

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Solution

The fourth proportional to 2,906.70, 4,361.13 and 1,347.45 is: 2,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.70 : 4,361.13 = 1,347.45 : x
  2. Step 2: Convert to fraction form
    2,906.70/4,361.13 = 1,347.45/x
  3. Step 3: Cross multiply
    2,906.70x = 4,361.13 × 1,347.45
  4. Step 4: Simplify right side
    2,906.70x = 5,876,376.08
  5. Step 5: Solve for x
    x = 5,876,376.08/2,906.70
  6. Step 6: Final answer
    x = 2,021.67

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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.