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Finding the Fourth Proportional to 2,584.71, 3,871.76 and 1,749.15

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Solution

The fourth proportional to 2,584.71, 3,871.76 and 1,749.15 is: 2,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.71 : 3,871.76 = 1,749.15 : x
  2. Step 2: Convert to fraction form
    2,584.71/3,871.76 = 1,749.15/x
  3. Step 3: Cross multiply
    2,584.71x = 3,871.76 × 1,749.15
  4. Step 4: Simplify right side
    2,584.71x = 6,772,280.26
  5. Step 5: Solve for x
    x = 6,772,280.26/2,584.71
  6. Step 6: Final answer
    x = 2,620.13

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