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Finding the Fourth Proportional to 10,813.14, 14,921.02 and 7,982.02

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Solution

The fourth proportional to 10,813.14, 14,921.02 and 7,982.02 is: 11,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.14 : 14,921.02 = 7,982.02 : x
  2. Step 2: Convert to fraction form
    10,813.14/14,921.02 = 7,982.02/x
  3. Step 3: Cross multiply
    10,813.14x = 14,921.02 × 7,982.02
  4. Step 4: Simplify right side
    10,813.14x = 119,099,880.06
  5. Step 5: Solve for x
    x = 119,099,880.06/10,813.14
  6. Step 6: Final answer
    x = 11,014.37

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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.