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Finding the Fourth Proportional to 3,973.93, 5,960.89 and 1,782.65

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Solution

The fourth proportional to 3,973.93, 5,960.89 and 1,782.65 is: 2,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.93 : 5,960.89 = 1,782.65 : x
  2. Step 2: Convert to fraction form
    3,973.93/5,960.89 = 1,782.65/x
  3. Step 3: Cross multiply
    3,973.93x = 5,960.89 × 1,782.65
  4. Step 4: Simplify right side
    3,973.93x = 10,626,197.69
  5. Step 5: Solve for x
    x = 10,626,197.69/3,973.93
  6. Step 6: Final answer
    x = 2,673.98

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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.