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Finding the Fourth Proportional to 3,105.78, 4,659.48 and 1,158

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Solution

The fourth proportional to 3,105.78, 4,659.48 and 1,158 is: 1,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.78 : 4,659.48 = 1,158 : x
  2. Step 2: Convert to fraction form
    3,105.78/4,659.48 = 1,158/x
  3. Step 3: Cross multiply
    3,105.78x = 4,659.48 × 1,158
  4. Step 4: Simplify right side
    3,105.78x = 5,395,677.84
  5. Step 5: Solve for x
    x = 5,395,677.84/3,105.78
  6. Step 6: Final answer
    x = 1,737.30

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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.