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Finding the Fourth Proportional to 2,808, 4,211.66 and 959.07

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Solution

The fourth proportional to 2,808, 4,211.66 and 959.07 is: 1,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808 : 4,211.66 = 959.07 : x
  2. Step 2: Convert to fraction form
    2,808/4,211.66 = 959.07/x
  3. Step 3: Cross multiply
    2,808x = 4,211.66 × 959.07
  4. Step 4: Simplify right side
    2,808x = 4,039,294.95
  5. Step 5: Solve for x
    x = 4,039,294.95/2,808
  6. Step 6: Final answer
    x = 1,438.50

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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.