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Finding the Fourth Proportional to 2,543.01, 3,815.49 and 982.58

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Solution

The fourth proportional to 2,543.01, 3,815.49 and 982.58 is: 1,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.01 : 3,815.49 = 982.58 : x
  2. Step 2: Convert to fraction form
    2,543.01/3,815.49 = 982.58/x
  3. Step 3: Cross multiply
    2,543.01x = 3,815.49 × 982.58
  4. Step 4: Simplify right side
    2,543.01x = 3,749,005.09
  5. Step 5: Solve for x
    x = 3,749,005.09/2,543.01
  6. Step 6: Final answer
    x = 1,474.24

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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.