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Finding the Fourth Proportional to 3,268.23, 4,902.18 and 802.90

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Solution

The fourth proportional to 3,268.23, 4,902.18 and 802.90 is: 1,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.23 : 4,902.18 = 802.90 : x
  2. Step 2: Convert to fraction form
    3,268.23/4,902.18 = 802.90/x
  3. Step 3: Cross multiply
    3,268.23x = 4,902.18 × 802.90
  4. Step 4: Simplify right side
    3,268.23x = 3,935,960.32
  5. Step 5: Solve for x
    x = 3,935,960.32/3,268.23
  6. Step 6: Final answer
    x = 1,204.31

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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.