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Finding the Fourth Proportional to 3,827.04, 5,730.80 and 3,000.80

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Solution

The fourth proportional to 3,827.04, 5,730.80 and 3,000.80 is: 4,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.04 : 5,730.80 = 3,000.80 : x
  2. Step 2: Convert to fraction form
    3,827.04/5,730.80 = 3,000.80/x
  3. Step 3: Cross multiply
    3,827.04x = 5,730.80 × 3,000.80
  4. Step 4: Simplify right side
    3,827.04x = 17,196,984.64
  5. Step 5: Solve for x
    x = 17,196,984.64/3,827.04
  6. Step 6: Final answer
    x = 4,493.55

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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.