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Finding the Fourth Proportional to 3,783, 5,218.36 and 3,141.31

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Solution

The fourth proportional to 3,783, 5,218.36 and 3,141.31 is: 4,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783 : 5,218.36 = 3,141.31 : x
  2. Step 2: Convert to fraction form
    3,783/5,218.36 = 3,141.31/x
  3. Step 3: Cross multiply
    3,783x = 5,218.36 × 3,141.31
  4. Step 4: Simplify right side
    3,783x = 16,392,486.45
  5. Step 5: Solve for x
    x = 16,392,486.45/3,783
  6. Step 6: Final answer
    x = 4,333.20

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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.