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Finding the Fourth Proportional to 3,980.88, 5,971.60 and 1,515.28

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Solution

The fourth proportional to 3,980.88, 5,971.60 and 1,515.28 is: 2,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.88 : 5,971.60 = 1,515.28 : x
  2. Step 2: Convert to fraction form
    3,980.88/5,971.60 = 1,515.28/x
  3. Step 3: Cross multiply
    3,980.88x = 5,971.60 × 1,515.28
  4. Step 4: Simplify right side
    3,980.88x = 9,048,646.05
  5. Step 5: Solve for x
    x = 9,048,646.05/3,980.88
  6. Step 6: Final answer
    x = 2,273.03

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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.