Home / 1,407.22-2,110.47-968.38

Finding the Fourth Proportional to 1,407.22, 2,110.47 and 968.38

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Solution

The fourth proportional to 1,407.22, 2,110.47 and 968.38 is: 1,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.22 : 2,110.47 = 968.38 : x
  2. Step 2: Convert to fraction form
    1,407.22/2,110.47 = 968.38/x
  3. Step 3: Cross multiply
    1,407.22x = 2,110.47 × 968.38
  4. Step 4: Simplify right side
    1,407.22x = 2,043,736.94
  5. Step 5: Solve for x
    x = 2,043,736.94/1,407.22
  6. Step 6: Final answer
    x = 1,452.32

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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.