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Finding the Fourth Proportional to 2,902.28, 4,006.28 and 1,958.63

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Solution

The fourth proportional to 2,902.28, 4,006.28 and 1,958.63 is: 2,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.28 : 4,006.28 = 1,958.63 : x
  2. Step 2: Convert to fraction form
    2,902.28/4,006.28 = 1,958.63/x
  3. Step 3: Cross multiply
    2,902.28x = 4,006.28 × 1,958.63
  4. Step 4: Simplify right side
    2,902.28x = 7,846,805.06
  5. Step 5: Solve for x
    x = 7,846,805.06/2,902.28
  6. Step 6: Final answer
    x = 2,703.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.