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Finding the Fourth Proportional to 5,196.81, 7,789.02 and 3,000.90

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Solution

The fourth proportional to 5,196.81, 7,789.02 and 3,000.90 is: 4,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.81 : 7,789.02 = 3,000.90 : x
  2. Step 2: Convert to fraction form
    5,196.81/7,789.02 = 3,000.90/x
  3. Step 3: Cross multiply
    5,196.81x = 7,789.02 × 3,000.90
  4. Step 4: Simplify right side
    5,196.81x = 23,374,070.12
  5. Step 5: Solve for x
    x = 23,374,070.12/5,196.81
  6. Step 6: Final answer
    x = 4,497.77

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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.