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Finding the Fourth Proportional to 7,849, 10,827.81 and 5,198.64

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Solution

The fourth proportional to 7,849, 10,827.81 and 5,198.64 is: 7,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849 : 10,827.81 = 5,198.64 : x
  2. Step 2: Convert to fraction form
    7,849/10,827.81 = 5,198.64/x
  3. Step 3: Cross multiply
    7,849x = 10,827.81 × 5,198.64
  4. Step 4: Simplify right side
    7,849x = 56,289,886.18
  5. Step 5: Solve for x
    x = 56,289,886.18/7,849
  6. Step 6: Final answer
    x = 7,171.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.