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Finding the Fourth Proportional to 2,602.82, 3,902.33 and 959.40

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Solution

The fourth proportional to 2,602.82, 3,902.33 and 959.40 is: 1,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.82 : 3,902.33 = 959.40 : x
  2. Step 2: Convert to fraction form
    2,602.82/3,902.33 = 959.40/x
  3. Step 3: Cross multiply
    2,602.82x = 3,902.33 × 959.40
  4. Step 4: Simplify right side
    2,602.82x = 3,743,897.80
  5. Step 5: Solve for x
    x = 3,743,897.80/2,602.82
  6. Step 6: Final answer
    x = 1,438.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.