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Finding the Fourth Proportional to 2,982.83, 4,475.42 and 2,740.64

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Solution

The fourth proportional to 2,982.83, 4,475.42 and 2,740.64 is: 4,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.83 : 4,475.42 = 2,740.64 : x
  2. Step 2: Convert to fraction form
    2,982.83/4,475.42 = 2,740.64/x
  3. Step 3: Cross multiply
    2,982.83x = 4,475.42 × 2,740.64
  4. Step 4: Simplify right side
    2,982.83x = 12,265,501.37
  5. Step 5: Solve for x
    x = 12,265,501.37/2,982.83
  6. Step 6: Final answer
    x = 4,112.04

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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.