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Finding the Fourth Proportional to 5,091.75, 7,632.89 and 1,973.79

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Solution

The fourth proportional to 5,091.75, 7,632.89 and 1,973.79 is: 2,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.75 : 7,632.89 = 1,973.79 : x
  2. Step 2: Convert to fraction form
    5,091.75/7,632.89 = 1,973.79/x
  3. Step 3: Cross multiply
    5,091.75x = 7,632.89 × 1,973.79
  4. Step 4: Simplify right side
    5,091.75x = 15,065,721.95
  5. Step 5: Solve for x
    x = 15,065,721.95/5,091.75
  6. Step 6: Final answer
    x = 2,958.85

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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.