Home / 1,425-1,965.24-1,109.64

Finding the Fourth Proportional to 1,425, 1,965.24 and 1,109.64

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Solution

The fourth proportional to 1,425, 1,965.24 and 1,109.64 is: 1,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425 : 1,965.24 = 1,109.64 : x
  2. Step 2: Convert to fraction form
    1,425/1,965.24 = 1,109.64/x
  3. Step 3: Cross multiply
    1,425x = 1,965.24 × 1,109.64
  4. Step 4: Simplify right side
    1,425x = 2,180,708.91
  5. Step 5: Solve for x
    x = 2,180,708.91/1,425
  6. Step 6: Final answer
    x = 1,530.32

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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.