Home / 2,824.90-3,899-1,646.34

Finding the Fourth Proportional to 2,824.90, 3,899 and 1,646.34

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Solution

The fourth proportional to 2,824.90, 3,899 and 1,646.34 is: 2,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.90 : 3,899 = 1,646.34 : x
  2. Step 2: Convert to fraction form
    2,824.90/3,899 = 1,646.34/x
  3. Step 3: Cross multiply
    2,824.90x = 3,899 × 1,646.34
  4. Step 4: Simplify right side
    2,824.90x = 6,419,079.66
  5. Step 5: Solve for x
    x = 6,419,079.66/2,824.90
  6. Step 6: Final answer
    x = 2,272.32

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1.5x scale

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.