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Finding the Fourth Proportional to 2,813.30, 3,881.42 and 1,693.81

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Solution

The fourth proportional to 2,813.30, 3,881.42 and 1,693.81 is: 2,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.30 : 3,881.42 = 1,693.81 : x
  2. Step 2: Convert to fraction form
    2,813.30/3,881.42 = 1,693.81/x
  3. Step 3: Cross multiply
    2,813.30x = 3,881.42 × 1,693.81
  4. Step 4: Simplify right side
    2,813.30x = 6,574,390.74
  5. Step 5: Solve for x
    x = 6,574,390.74/2,813.30
  6. Step 6: Final answer
    x = 2,336.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.