Home / 1,928.64-2,894.40-1,199.28

Finding the Fourth Proportional to 1,928.64, 2,894.40 and 1,199.28

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Solution

The fourth proportional to 1,928.64, 2,894.40 and 1,199.28 is: 1,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.64 : 2,894.40 = 1,199.28 : x
  2. Step 2: Convert to fraction form
    1,928.64/2,894.40 = 1,199.28/x
  3. Step 3: Cross multiply
    1,928.64x = 2,894.40 × 1,199.28
  4. Step 4: Simplify right side
    1,928.64x = 3,471,196.03
  5. Step 5: Solve for x
    x = 3,471,196.03/1,928.64
  6. Step 6: Final answer
    x = 1,799.82

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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.