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Finding the Fourth Proportional to 3,165.89, 4,749.08 and 1,086.01

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Solution

The fourth proportional to 3,165.89, 4,749.08 and 1,086.01 is: 1,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.89 : 4,749.08 = 1,086.01 : x
  2. Step 2: Convert to fraction form
    3,165.89/4,749.08 = 1,086.01/x
  3. Step 3: Cross multiply
    3,165.89x = 4,749.08 × 1,086.01
  4. Step 4: Simplify right side
    3,165.89x = 5,157,537.18
  5. Step 5: Solve for x
    x = 5,157,537.18/3,165.89
  6. Step 6: Final answer
    x = 1,629.10

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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.