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Finding the Fourth Proportional to 2,655.42, 3,983.15 and 1,268.45

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Solution

The fourth proportional to 2,655.42, 3,983.15 and 1,268.45 is: 1,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.42 : 3,983.15 = 1,268.45 : x
  2. Step 2: Convert to fraction form
    2,655.42/3,983.15 = 1,268.45/x
  3. Step 3: Cross multiply
    2,655.42x = 3,983.15 × 1,268.45
  4. Step 4: Simplify right side
    2,655.42x = 5,052,400.36
  5. Step 5: Solve for x
    x = 5,052,400.36/2,655.42
  6. Step 6: Final answer
    x = 1,902.67

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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.