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Finding the Fourth Proportional to 4,874.40, 7,311.42 and 1,951.92

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Solution

The fourth proportional to 4,874.40, 7,311.42 and 1,951.92 is: 2,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.40 : 7,311.42 = 1,951.92 : x
  2. Step 2: Convert to fraction form
    4,874.40/7,311.42 = 1,951.92/x
  3. Step 3: Cross multiply
    4,874.40x = 7,311.42 × 1,951.92
  4. Step 4: Simplify right side
    4,874.40x = 14,271,306.93
  5. Step 5: Solve for x
    x = 14,271,306.93/4,874.40
  6. Step 6: Final answer
    x = 2,927.81

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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.