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Finding the Fourth Proportional to 3,853.64, 5,783.70 and 1,664

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Solution

The fourth proportional to 3,853.64, 5,783.70 and 1,664 is: 2,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.64 : 5,783.70 = 1,664 : x
  2. Step 2: Convert to fraction form
    3,853.64/5,783.70 = 1,664/x
  3. Step 3: Cross multiply
    3,853.64x = 5,783.70 × 1,664
  4. Step 4: Simplify right side
    3,853.64x = 9,624,076.80
  5. Step 5: Solve for x
    x = 9,624,076.80/3,853.64
  6. Step 6: Final answer
    x = 2,497.40

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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.