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Finding the Fourth Proportional to 2,268, 3,129.66 and 1,272.96

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Solution

The fourth proportional to 2,268, 3,129.66 and 1,272.96 is: 1,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268 : 3,129.66 = 1,272.96 : x
  2. Step 2: Convert to fraction form
    2,268/3,129.66 = 1,272.96/x
  3. Step 3: Cross multiply
    2,268x = 3,129.66 × 1,272.96
  4. Step 4: Simplify right side
    2,268x = 3,983,931.99
  5. Step 5: Solve for x
    x = 3,983,931.99/2,268
  6. Step 6: Final answer
    x = 1,756.58

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Why These Related Problems?

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