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Finding the Fourth Proportional to 3,912.32, 5,868.69 and 990.65

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Solution

The fourth proportional to 3,912.32, 5,868.69 and 990.65 is: 1,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.32 : 5,868.69 = 990.65 : x
  2. Step 2: Convert to fraction form
    3,912.32/5,868.69 = 990.65/x
  3. Step 3: Cross multiply
    3,912.32x = 5,868.69 × 990.65
  4. Step 4: Simplify right side
    3,912.32x = 5,813,828.71
  5. Step 5: Solve for x
    x = 5,813,828.71/3,912.32
  6. Step 6: Final answer
    x = 1,486.03

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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.