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Finding the Fourth Proportional to 3,892.55, 5,840.33 and 1,429.07

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Solution

The fourth proportional to 3,892.55, 5,840.33 and 1,429.07 is: 2,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.55 : 5,840.33 = 1,429.07 : x
  2. Step 2: Convert to fraction form
    3,892.55/5,840.33 = 1,429.07/x
  3. Step 3: Cross multiply
    3,892.55x = 5,840.33 × 1,429.07
  4. Step 4: Simplify right side
    3,892.55x = 8,346,204.05
  5. Step 5: Solve for x
    x = 8,346,204.05/3,892.55
  6. Step 6: Final answer
    x = 2,144.15

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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.