Home / 2,982.28-4,115.44-1,656.04

Finding the Fourth Proportional to 2,982.28, 4,115.44 and 1,656.04

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Solution

The fourth proportional to 2,982.28, 4,115.44 and 1,656.04 is: 2,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.28 : 4,115.44 = 1,656.04 : x
  2. Step 2: Convert to fraction form
    2,982.28/4,115.44 = 1,656.04/x
  3. Step 3: Cross multiply
    2,982.28x = 4,115.44 × 1,656.04
  4. Step 4: Simplify right side
    2,982.28x = 6,815,333.26
  5. Step 5: Solve for x
    x = 6,815,333.26/2,982.28
  6. Step 6: Final answer
    x = 2,285.28

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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.