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Finding the Fourth Proportional to 3,864.61, 5,789.21 and 2,880.46

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Solution

The fourth proportional to 3,864.61, 5,789.21 and 2,880.46 is: 4,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.61 : 5,789.21 = 2,880.46 : x
  2. Step 2: Convert to fraction form
    3,864.61/5,789.21 = 2,880.46/x
  3. Step 3: Cross multiply
    3,864.61x = 5,789.21 × 2,880.46
  4. Step 4: Simplify right side
    3,864.61x = 16,675,558.89
  5. Step 5: Solve for x
    x = 16,675,558.89/3,864.61
  6. Step 6: Final answer
    x = 4,314.95

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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.