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Finding the Fourth Proportional to 3,983.84, 5,496 and 3,103.68

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Solution

The fourth proportional to 3,983.84, 5,496 and 3,103.68 is: 4,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.84 : 5,496 = 3,103.68 : x
  2. Step 2: Convert to fraction form
    3,983.84/5,496 = 3,103.68/x
  3. Step 3: Cross multiply
    3,983.84x = 5,496 × 3,103.68
  4. Step 4: Simplify right side
    3,983.84x = 17,057,825.28
  5. Step 5: Solve for x
    x = 17,057,825.28/3,983.84
  6. Step 6: Final answer
    x = 4,281.75

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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.