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Finding the Fourth Proportional to 2,991.64, 4,481.28 and 1,755.32

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Solution

The fourth proportional to 2,991.64, 4,481.28 and 1,755.32 is: 2,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.64 : 4,481.28 = 1,755.32 : x
  2. Step 2: Convert to fraction form
    2,991.64/4,481.28 = 1,755.32/x
  3. Step 3: Cross multiply
    2,991.64x = 4,481.28 × 1,755.32
  4. Step 4: Simplify right side
    2,991.64x = 7,866,080.41
  5. Step 5: Solve for x
    x = 7,866,080.41/2,991.64
  6. Step 6: Final answer
    x = 2,629.35

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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.