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Finding the Fourth Proportional to 2,474.20, 3,703.20 and 1,923.40

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Solution

The fourth proportional to 2,474.20, 3,703.20 and 1,923.40 is: 2,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.20 : 3,703.20 = 1,923.40 : x
  2. Step 2: Convert to fraction form
    2,474.20/3,703.20 = 1,923.40/x
  3. Step 3: Cross multiply
    2,474.20x = 3,703.20 × 1,923.40
  4. Step 4: Simplify right side
    2,474.20x = 7,122,734.88
  5. Step 5: Solve for x
    x = 7,122,734.88/2,474.20
  6. Step 6: Final answer
    x = 2,878.80

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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.