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Finding the Fourth Proportional to 3,870.30, 5,794.92 and 2,824.86

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Solution

The fourth proportional to 3,870.30, 5,794.92 and 2,824.86 is: 4,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.30 : 5,794.92 = 2,824.86 : x
  2. Step 2: Convert to fraction form
    3,870.30/5,794.92 = 2,824.86/x
  3. Step 3: Cross multiply
    3,870.30x = 5,794.92 × 2,824.86
  4. Step 4: Simplify right side
    3,870.30x = 16,369,837.71
  5. Step 5: Solve for x
    x = 16,369,837.71/3,870.30
  6. Step 6: Final answer
    x = 4,229.60

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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.