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Finding the Fourth Proportional to 3,857.50, 5,784.63 and 1,664.02

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Solution

The fourth proportional to 3,857.50, 5,784.63 and 1,664.02 is: 2,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.50 : 5,784.63 = 1,664.02 : x
  2. Step 2: Convert to fraction form
    3,857.50/5,784.63 = 1,664.02/x
  3. Step 3: Cross multiply
    3,857.50x = 5,784.63 × 1,664.02
  4. Step 4: Simplify right side
    3,857.50x = 9,625,740.01
  5. Step 5: Solve for x
    x = 9,625,740.01/3,857.50
  6. Step 6: Final answer
    x = 2,495.33

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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.