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Finding the Fourth Proportional to 2,763.71, 4,147.18 and 1,982.87

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Solution

The fourth proportional to 2,763.71, 4,147.18 and 1,982.87 is: 2,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.71 : 4,147.18 = 1,982.87 : x
  2. Step 2: Convert to fraction form
    2,763.71/4,147.18 = 1,982.87/x
  3. Step 3: Cross multiply
    2,763.71x = 4,147.18 × 1,982.87
  4. Step 4: Simplify right side
    2,763.71x = 8,223,293.11
  5. Step 5: Solve for x
    x = 8,223,293.11/2,763.71
  6. Step 6: Final answer
    x = 2,975.46

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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.