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Finding the Fourth Proportional to 2,802.43, 4,200.71 and 1,046.67

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Solution

The fourth proportional to 2,802.43, 4,200.71 and 1,046.67 is: 1,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.43 : 4,200.71 = 1,046.67 : x
  2. Step 2: Convert to fraction form
    2,802.43/4,200.71 = 1,046.67/x
  3. Step 3: Cross multiply
    2,802.43x = 4,200.71 × 1,046.67
  4. Step 4: Simplify right side
    2,802.43x = 4,396,757.14
  5. Step 5: Solve for x
    x = 4,396,757.14/2,802.43
  6. Step 6: Final answer
    x = 1,568.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.