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Finding the Fourth Proportional to 2,543.64, 3,813.66 and 982.34

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Solution

The fourth proportional to 2,543.64, 3,813.66 and 982.34 is: 1,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.64 : 3,813.66 = 982.34 : x
  2. Step 2: Convert to fraction form
    2,543.64/3,813.66 = 982.34/x
  3. Step 3: Cross multiply
    2,543.64x = 3,813.66 × 982.34
  4. Step 4: Simplify right side
    2,543.64x = 3,746,310.76
  5. Step 5: Solve for x
    x = 3,746,310.76/2,543.64
  6. Step 6: Final answer
    x = 1,472.81

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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.