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Finding the Fourth Proportional to 3,108.98, 4,661.87 and 917.43

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Solution

The fourth proportional to 3,108.98, 4,661.87 and 917.43 is: 1,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.98 : 4,661.87 = 917.43 : x
  2. Step 2: Convert to fraction form
    3,108.98/4,661.87 = 917.43/x
  3. Step 3: Cross multiply
    3,108.98x = 4,661.87 × 917.43
  4. Step 4: Simplify right side
    3,108.98x = 4,276,939.39
  5. Step 5: Solve for x
    x = 4,276,939.39/3,108.98
  6. Step 6: Final answer
    x = 1,375.67

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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.