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Finding the Fourth Proportional to 7,661.14, 11,491.48 and 2,114.82

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Solution

The fourth proportional to 7,661.14, 11,491.48 and 2,114.82 is: 3,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.14 : 11,491.48 = 2,114.82 : x
  2. Step 2: Convert to fraction form
    7,661.14/11,491.48 = 2,114.82/x
  3. Step 3: Cross multiply
    7,661.14x = 11,491.48 × 2,114.82
  4. Step 4: Simplify right side
    7,661.14x = 24,302,406.45
  5. Step 5: Solve for x
    x = 24,302,406.45/7,661.14
  6. Step 6: Final answer
    x = 3,172.17

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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.