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Finding the Fourth Proportional to 2,543.40, 3,813.30 and 982.80

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Solution

The fourth proportional to 2,543.40, 3,813.30 and 982.80 is: 1,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.40 : 3,813.30 = 982.80 : x
  2. Step 2: Convert to fraction form
    2,543.40/3,813.30 = 982.80/x
  3. Step 3: Cross multiply
    2,543.40x = 3,813.30 × 982.80
  4. Step 4: Simplify right side
    2,543.40x = 3,747,711.24
  5. Step 5: Solve for x
    x = 3,747,711.24/2,543.40
  6. Step 6: Final answer
    x = 1,473.50

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1.5x scale

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.