Home / 1,646.08-2,467.83-823.94

Finding the Fourth Proportional to 1,646.08, 2,467.83 and 823.94

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Solution

The fourth proportional to 1,646.08, 2,467.83 and 823.94 is: 1,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.08 : 2,467.83 = 823.94 : x
  2. Step 2: Convert to fraction form
    1,646.08/2,467.83 = 823.94/x
  3. Step 3: Cross multiply
    1,646.08x = 2,467.83 × 823.94
  4. Step 4: Simplify right side
    1,646.08x = 2,033,343.85
  5. Step 5: Solve for x
    x = 2,033,343.85/1,646.08
  6. Step 6: Final answer
    x = 1,235.26

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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.