Home / 2,982.46-4,115.82-1,656.28

Finding the Fourth Proportional to 2,982.46, 4,115.82 and 1,656.28

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Solution

The fourth proportional to 2,982.46, 4,115.82 and 1,656.28 is: 2,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.46 : 4,115.82 = 1,656.28 : x
  2. Step 2: Convert to fraction form
    2,982.46/4,115.82 = 1,656.28/x
  3. Step 3: Cross multiply
    2,982.46x = 4,115.82 × 1,656.28
  4. Step 4: Simplify right side
    2,982.46x = 6,816,950.35
  5. Step 5: Solve for x
    x = 6,816,950.35/2,982.46
  6. Step 6: Final answer
    x = 2,285.68

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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.