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Finding the Fourth Proportional to 3,902.78, 5,853.36 and 1,436.96

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Solution

The fourth proportional to 3,902.78, 5,853.36 and 1,436.96 is: 2,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.78 : 5,853.36 = 1,436.96 : x
  2. Step 2: Convert to fraction form
    3,902.78/5,853.36 = 1,436.96/x
  3. Step 3: Cross multiply
    3,902.78x = 5,853.36 × 1,436.96
  4. Step 4: Simplify right side
    3,902.78x = 8,411,044.19
  5. Step 5: Solve for x
    x = 8,411,044.19/3,902.78
  6. Step 6: Final answer
    x = 2,155.14

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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.