Home / 1,578.64-2,178.72-949.49

Finding the Fourth Proportional to 1,578.64, 2,178.72 and 949.49

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Solution

The fourth proportional to 1,578.64, 2,178.72 and 949.49 is: 1,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.64 : 2,178.72 = 949.49 : x
  2. Step 2: Convert to fraction form
    1,578.64/2,178.72 = 949.49/x
  3. Step 3: Cross multiply
    1,578.64x = 2,178.72 × 949.49
  4. Step 4: Simplify right side
    1,578.64x = 2,068,668.11
  5. Step 5: Solve for x
    x = 2,068,668.11/1,578.64
  6. Step 6: Final answer
    x = 1,310.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.