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Finding the Fourth Proportional to 7,674, 11,513.70 and 3,781.14

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Solution

The fourth proportional to 7,674, 11,513.70 and 3,781.14 is: 5,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674 : 11,513.70 = 3,781.14 : x
  2. Step 2: Convert to fraction form
    7,674/11,513.70 = 3,781.14/x
  3. Step 3: Cross multiply
    7,674x = 11,513.70 × 3,781.14
  4. Step 4: Simplify right side
    7,674x = 43,534,911.62
  5. Step 5: Solve for x
    x = 43,534,911.62/7,674
  6. Step 6: Final answer
    x = 5,673.04

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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.