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Finding the Fourth Proportional to 3,105.79, 4,655.16 and 1,546.90

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Solution

The fourth proportional to 3,105.79, 4,655.16 and 1,546.90 is: 2,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.79 : 4,655.16 = 1,546.90 : x
  2. Step 2: Convert to fraction form
    3,105.79/4,655.16 = 1,546.90/x
  3. Step 3: Cross multiply
    3,105.79x = 4,655.16 × 1,546.90
  4. Step 4: Simplify right side
    3,105.79x = 7,201,055.37
  5. Step 5: Solve for x
    x = 7,201,055.37/3,105.79
  6. Step 6: Final answer
    x = 2,318.59

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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.