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Finding the Fourth Proportional to 3,398.98, 5,096 and 1,317.18

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Solution

The fourth proportional to 3,398.98, 5,096 and 1,317.18 is: 1,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.98 : 5,096 = 1,317.18 : x
  2. Step 2: Convert to fraction form
    3,398.98/5,096 = 1,317.18/x
  3. Step 3: Cross multiply
    3,398.98x = 5,096 × 1,317.18
  4. Step 4: Simplify right side
    3,398.98x = 6,712,349.28
  5. Step 5: Solve for x
    x = 6,712,349.28/3,398.98
  6. Step 6: Final answer
    x = 1,974.81

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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.