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Finding the Fourth Proportional to 3,109.19, 4,661.96 and 917.33

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Solution

The fourth proportional to 3,109.19, 4,661.96 and 917.33 is: 1,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.19 : 4,661.96 = 917.33 : x
  2. Step 2: Convert to fraction form
    3,109.19/4,661.96 = 917.33/x
  3. Step 3: Cross multiply
    3,109.19x = 4,661.96 × 917.33
  4. Step 4: Simplify right side
    3,109.19x = 4,276,527.87
  5. Step 5: Solve for x
    x = 4,276,527.87/3,109.19
  6. Step 6: Final answer
    x = 1,375.45

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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.