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Finding the Fourth Proportional to 3,664, 5,056.34 and 1,985.42

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Solution

The fourth proportional to 3,664, 5,056.34 and 1,985.42 is: 2,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 5,056.34 = 1,985.42 : x
  2. Step 2: Convert to fraction form
    3,664/5,056.34 = 1,985.42/x
  3. Step 3: Cross multiply
    3,664x = 5,056.34 × 1,985.42
  4. Step 4: Simplify right side
    3,664x = 10,038,958.56
  5. Step 5: Solve for x
    x = 10,038,958.56/3,664
  6. Step 6: Final answer
    x = 2,739.89

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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.