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Finding the Fourth Proportional to 2,902.36, 4,354.50 and 1,932.28

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Solution

The fourth proportional to 2,902.36, 4,354.50 and 1,932.28 is: 2,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.36 : 4,354.50 = 1,932.28 : x
  2. Step 2: Convert to fraction form
    2,902.36/4,354.50 = 1,932.28/x
  3. Step 3: Cross multiply
    2,902.36x = 4,354.50 × 1,932.28
  4. Step 4: Simplify right side
    2,902.36x = 8,414,113.26
  5. Step 5: Solve for x
    x = 8,414,113.26/2,902.36
  6. Step 6: Final answer
    x = 2,899.06

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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.