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Finding the Fourth Proportional to 7,380.81, 11,068.70 and 2,114.42

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Solution

The fourth proportional to 7,380.81, 11,068.70 and 2,114.42 is: 3,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.81 : 11,068.70 = 2,114.42 : x
  2. Step 2: Convert to fraction form
    7,380.81/11,068.70 = 2,114.42/x
  3. Step 3: Cross multiply
    7,380.81x = 11,068.70 × 2,114.42
  4. Step 4: Simplify right side
    7,380.81x = 23,403,814.74
  5. Step 5: Solve for x
    x = 23,403,814.74/7,380.81
  6. Step 6: Final answer
    x = 3,170.90

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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.