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Finding the Fourth Proportional to 2,578.04, 3,866.70 and 846.68

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Solution

The fourth proportional to 2,578.04, 3,866.70 and 846.68 is: 1,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.04 : 3,866.70 = 846.68 : x
  2. Step 2: Convert to fraction form
    2,578.04/3,866.70 = 846.68/x
  3. Step 3: Cross multiply
    2,578.04x = 3,866.70 × 846.68
  4. Step 4: Simplify right side
    2,578.04x = 3,273,857.56
  5. Step 5: Solve for x
    x = 3,273,857.56/2,578.04
  6. Step 6: Final answer
    x = 1,269.90

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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.