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Finding the Fourth Proportional to 1,383.37, 1,909.19 and 1,033.45

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Solution

The fourth proportional to 1,383.37, 1,909.19 and 1,033.45 is: 1,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.37 : 1,909.19 = 1,033.45 : x
  2. Step 2: Convert to fraction form
    1,383.37/1,909.19 = 1,033.45/x
  3. Step 3: Cross multiply
    1,383.37x = 1,909.19 × 1,033.45
  4. Step 4: Simplify right side
    1,383.37x = 1,973,052.41
  5. Step 5: Solve for x
    x = 1,973,052.41/1,383.37
  6. Step 6: Final answer
    x = 1,426.27

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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.