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Finding the Fourth Proportional to 1,752, 2,629.36 and 1,546.96

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Solution

The fourth proportional to 1,752, 2,629.36 and 1,546.96 is: 2,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752 : 2,629.36 = 1,546.96 : x
  2. Step 2: Convert to fraction form
    1,752/2,629.36 = 1,546.96/x
  3. Step 3: Cross multiply
    1,752x = 2,629.36 × 1,546.96
  4. Step 4: Simplify right side
    1,752x = 4,067,514.75
  5. Step 5: Solve for x
    x = 4,067,514.75/1,752
  6. Step 6: Final answer
    x = 2,321.64

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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.