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Finding the Fourth Proportional to 3,855.36, 5,783.62 and 1,664.12

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Solution

The fourth proportional to 3,855.36, 5,783.62 and 1,664.12 is: 2,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.36 : 5,783.62 = 1,664.12 : x
  2. Step 2: Convert to fraction form
    3,855.36/5,783.62 = 1,664.12/x
  3. Step 3: Cross multiply
    3,855.36x = 5,783.62 × 1,664.12
  4. Step 4: Simplify right side
    3,855.36x = 9,624,637.71
  5. Step 5: Solve for x
    x = 9,624,637.71/3,855.36
  6. Step 6: Final answer
    x = 2,496.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.