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Finding the Fourth Proportional to 2,778.71, 3,833.93 and 1,895.40

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Solution

The fourth proportional to 2,778.71, 3,833.93 and 1,895.40 is: 2,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.71 : 3,833.93 = 1,895.40 : x
  2. Step 2: Convert to fraction form
    2,778.71/3,833.93 = 1,895.40/x
  3. Step 3: Cross multiply
    2,778.71x = 3,833.93 × 1,895.40
  4. Step 4: Simplify right side
    2,778.71x = 7,266,835.66
  5. Step 5: Solve for x
    x = 7,266,835.66/2,778.71
  6. Step 6: Final answer
    x = 2,615.19

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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.