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Finding the Fourth Proportional to 2,665.96, 3,999.06 and 718.12

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Solution

The fourth proportional to 2,665.96, 3,999.06 and 718.12 is: 1,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.96 : 3,999.06 = 718.12 : x
  2. Step 2: Convert to fraction form
    2,665.96/3,999.06 = 718.12/x
  3. Step 3: Cross multiply
    2,665.96x = 3,999.06 × 718.12
  4. Step 4: Simplify right side
    2,665.96x = 2,871,804.97
  5. Step 5: Solve for x
    x = 2,871,804.97/2,665.96
  6. Step 6: Final answer
    x = 1,077.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.