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Finding the Fourth Proportional to 2,793.70, 4,185.93 and 1,970.24

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Solution

The fourth proportional to 2,793.70, 4,185.93 and 1,970.24 is: 2,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.70 : 4,185.93 = 1,970.24 : x
  2. Step 2: Convert to fraction form
    2,793.70/4,185.93 = 1,970.24/x
  3. Step 3: Cross multiply
    2,793.70x = 4,185.93 × 1,970.24
  4. Step 4: Simplify right side
    2,793.70x = 8,247,286.72
  5. Step 5: Solve for x
    x = 8,247,286.72/2,793.70
  6. Step 6: Final answer
    x = 2,952.10

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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.