Home / 1,782.64-2,456.72-1,284.44

Finding the Fourth Proportional to 1,782.64, 2,456.72 and 1,284.44

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Solution

The fourth proportional to 1,782.64, 2,456.72 and 1,284.44 is: 1,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.64 : 2,456.72 = 1,284.44 : x
  2. Step 2: Convert to fraction form
    1,782.64/2,456.72 = 1,284.44/x
  3. Step 3: Cross multiply
    1,782.64x = 2,456.72 × 1,284.44
  4. Step 4: Simplify right side
    1,782.64x = 3,155,509.44
  5. Step 5: Solve for x
    x = 3,155,509.44/1,782.64
  6. Step 6: Final answer
    x = 1,770.13

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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.