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Finding the Fourth Proportional to 9,821.14, 14,711.64 and 8,172.38

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Solution

The fourth proportional to 9,821.14, 14,711.64 and 8,172.38 is: 12,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.14 : 14,711.64 = 8,172.38 : x
  2. Step 2: Convert to fraction form
    9,821.14/14,711.64 = 8,172.38/x
  3. Step 3: Cross multiply
    9,821.14x = 14,711.64 × 8,172.38
  4. Step 4: Simplify right side
    9,821.14x = 120,229,112.50
  5. Step 5: Solve for x
    x = 120,229,112.50/9,821.14
  6. Step 6: Final answer
    x = 12,241.87

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1.5x scale

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.