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Finding the Fourth Proportional to 2,317.44, 3,476.81 and 931.75

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Solution

The fourth proportional to 2,317.44, 3,476.81 and 931.75 is: 1,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.44 : 3,476.81 = 931.75 : x
  2. Step 2: Convert to fraction form
    2,317.44/3,476.81 = 931.75/x
  3. Step 3: Cross multiply
    2,317.44x = 3,476.81 × 931.75
  4. Step 4: Simplify right side
    2,317.44x = 3,239,517.72
  5. Step 5: Solve for x
    x = 3,239,517.72/2,317.44
  6. Step 6: Final answer
    x = 1,397.89

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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.