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Finding the Fourth Proportional to 2,802.87, 4,204.98 and 1,982.75

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Solution

The fourth proportional to 2,802.87, 4,204.98 and 1,982.75 is: 2,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.87 : 4,204.98 = 1,982.75 : x
  2. Step 2: Convert to fraction form
    2,802.87/4,204.98 = 1,982.75/x
  3. Step 3: Cross multiply
    2,802.87x = 4,204.98 × 1,982.75
  4. Step 4: Simplify right side
    2,802.87x = 8,337,403.07
  5. Step 5: Solve for x
    x = 8,337,403.07/2,802.87
  6. Step 6: Final answer
    x = 2,974.59

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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.