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Finding the Fourth Proportional to 3,980.09, 5,970.11 and 1,383

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Solution

The fourth proportional to 3,980.09, 5,970.11 and 1,383 is: 2,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.09 : 5,970.11 = 1,383 : x
  2. Step 2: Convert to fraction form
    3,980.09/5,970.11 = 1,383/x
  3. Step 3: Cross multiply
    3,980.09x = 5,970.11 × 1,383
  4. Step 4: Simplify right side
    3,980.09x = 8,256,655.22
  5. Step 5: Solve for x
    x = 8,256,655.22/3,980.09
  6. Step 6: Final answer
    x = 2,074.49

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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.