Home / 1,284.93-1,923.75-1,022.49

Finding the Fourth Proportional to 1,284.93, 1,923.75 and 1,022.49

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Solution

The fourth proportional to 1,284.93, 1,923.75 and 1,022.49 is: 1,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.93 : 1,923.75 = 1,022.49 : x
  2. Step 2: Convert to fraction form
    1,284.93/1,923.75 = 1,022.49/x
  3. Step 3: Cross multiply
    1,284.93x = 1,923.75 × 1,022.49
  4. Step 4: Simplify right side
    1,284.93x = 1,967,015.14
  5. Step 5: Solve for x
    x = 1,967,015.14/1,284.93
  6. Step 6: Final answer
    x = 1,530.83

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1.5x scale

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.