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Finding the Fourth Proportional to 11,114.96, 16,653.96 and 7,821.14

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Solution

The fourth proportional to 11,114.96, 16,653.96 and 7,821.14 is: 11,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.96 : 16,653.96 = 7,821.14 : x
  2. Step 2: Convert to fraction form
    11,114.96/16,653.96 = 7,821.14/x
  3. Step 3: Cross multiply
    11,114.96x = 16,653.96 × 7,821.14
  4. Step 4: Simplify right side
    11,114.96x = 130,252,952.71
  5. Step 5: Solve for x
    x = 130,252,952.71/11,114.96
  6. Step 6: Final answer
    x = 11,718.71

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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.