Home / 1,782.54-2,458.74-1,284.36

Finding the Fourth Proportional to 1,782.54, 2,458.74 and 1,284.36

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Solution

The fourth proportional to 1,782.54, 2,458.74 and 1,284.36 is: 1,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.54 : 2,458.74 = 1,284.36 : x
  2. Step 2: Convert to fraction form
    1,782.54/2,458.74 = 1,284.36/x
  3. Step 3: Cross multiply
    1,782.54x = 2,458.74 × 1,284.36
  4. Step 4: Simplify right side
    1,782.54x = 3,157,907.31
  5. Step 5: Solve for x
    x = 3,157,907.31/1,782.54
  6. Step 6: Final answer
    x = 1,771.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.