Home / 2,028.64-3,042.88-729.36

Finding the Fourth Proportional to 2,028.64, 3,042.88 and 729.36

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Solution

The fourth proportional to 2,028.64, 3,042.88 and 729.36 is: 1,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.64 : 3,042.88 = 729.36 : x
  2. Step 2: Convert to fraction form
    2,028.64/3,042.88 = 729.36/x
  3. Step 3: Cross multiply
    2,028.64x = 3,042.88 × 729.36
  4. Step 4: Simplify right side
    2,028.64x = 2,219,354.96
  5. Step 5: Solve for x
    x = 2,219,354.96/2,028.64
  6. Step 6: Final answer
    x = 1,094.01

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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.