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Finding the Fourth Proportional to 1,383.84, 1,910.88 and 1,033.92

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Solution

The fourth proportional to 1,383.84, 1,910.88 and 1,033.92 is: 1,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.84 : 1,910.88 = 1,033.92 : x
  2. Step 2: Convert to fraction form
    1,383.84/1,910.88 = 1,033.92/x
  3. Step 3: Cross multiply
    1,383.84x = 1,910.88 × 1,033.92
  4. Step 4: Simplify right side
    1,383.84x = 1,975,697.05
  5. Step 5: Solve for x
    x = 1,975,697.05/1,383.84
  6. Step 6: Final answer
    x = 1,427.69

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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.