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Finding the Fourth Proportional to 3,378.38, 5,066.99 and 912.65

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Solution

The fourth proportional to 3,378.38, 5,066.99 and 912.65 is: 1,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.38 : 5,066.99 = 912.65 : x
  2. Step 2: Convert to fraction form
    3,378.38/5,066.99 = 912.65/x
  3. Step 3: Cross multiply
    3,378.38x = 5,066.99 × 912.65
  4. Step 4: Simplify right side
    3,378.38x = 4,624,388.42
  5. Step 5: Solve for x
    x = 4,624,388.42/3,378.38
  6. Step 6: Final answer
    x = 1,368.82

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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.