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Finding the Fourth Proportional to 2,751.64, 4,125.48 and 1,289.96

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Solution

The fourth proportional to 2,751.64, 4,125.48 and 1,289.96 is: 1,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.64 : 4,125.48 = 1,289.96 : x
  2. Step 2: Convert to fraction form
    2,751.64/4,125.48 = 1,289.96/x
  3. Step 3: Cross multiply
    2,751.64x = 4,125.48 × 1,289.96
  4. Step 4: Simplify right side
    2,751.64x = 5,321,704.18
  5. Step 5: Solve for x
    x = 5,321,704.18/2,751.64
  6. Step 6: Final answer
    x = 1,934.01

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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.