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Finding the Fourth Proportional to 3,377.75, 5,066.93 and 912.59

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Solution

The fourth proportional to 3,377.75, 5,066.93 and 912.59 is: 1,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.75 : 5,066.93 = 912.59 : x
  2. Step 2: Convert to fraction form
    3,377.75/5,066.93 = 912.59/x
  3. Step 3: Cross multiply
    3,377.75x = 5,066.93 × 912.59
  4. Step 4: Simplify right side
    3,377.75x = 4,624,029.65
  5. Step 5: Solve for x
    x = 4,624,029.65/3,377.75
  6. Step 6: Final answer
    x = 1,368.97

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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.