Home / 1,434.96-1,982.12-1,107.45

Finding the Fourth Proportional to 1,434.96, 1,982.12 and 1,107.45

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Solution

The fourth proportional to 1,434.96, 1,982.12 and 1,107.45 is: 1,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.96 : 1,982.12 = 1,107.45 : x
  2. Step 2: Convert to fraction form
    1,434.96/1,982.12 = 1,107.45/x
  3. Step 3: Cross multiply
    1,434.96x = 1,982.12 × 1,107.45
  4. Step 4: Simplify right side
    1,434.96x = 2,195,093.26
  5. Step 5: Solve for x
    x = 2,195,093.26/1,434.96
  6. Step 6: Final answer
    x = 1,529.72

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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.