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Finding the Fourth Proportional to 3,931.97, 5,893.81 and 1,980.07

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Solution

The fourth proportional to 3,931.97, 5,893.81 and 1,980.07 is: 2,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.97 : 5,893.81 = 1,980.07 : x
  2. Step 2: Convert to fraction form
    3,931.97/5,893.81 = 1,980.07/x
  3. Step 3: Cross multiply
    3,931.97x = 5,893.81 × 1,980.07
  4. Step 4: Simplify right side
    3,931.97x = 11,670,164.40
  5. Step 5: Solve for x
    x = 11,670,164.40/3,931.97
  6. Step 6: Final answer
    x = 2,968.02

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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.