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Finding the Fourth Proportional to 3,396.75, 5,095.12 and 931.58

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Solution

The fourth proportional to 3,396.75, 5,095.12 and 931.58 is: 1,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.75 : 5,095.12 = 931.58 : x
  2. Step 2: Convert to fraction form
    3,396.75/5,095.12 = 931.58/x
  3. Step 3: Cross multiply
    3,396.75x = 5,095.12 × 931.58
  4. Step 4: Simplify right side
    3,396.75x = 4,746,511.89
  5. Step 5: Solve for x
    x = 4,746,511.89/3,396.75
  6. Step 6: Final answer
    x = 1,397.37

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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.