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Finding the Fourth Proportional to 7,877.00, 11,822.78 and 3,984.14

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Solution

The fourth proportional to 7,877.00, 11,822.78 and 3,984.14 is: 5,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.00 : 11,822.78 = 3,984.14 : x
  2. Step 2: Convert to fraction form
    7,877.00/11,822.78 = 3,984.14/x
  3. Step 3: Cross multiply
    7,877.00x = 11,822.78 × 3,984.14
  4. Step 4: Simplify right side
    7,877.00x = 47,103,561.56
  5. Step 5: Solve for x
    x = 47,103,561.56/7,877.00
  6. Step 6: Final answer
    x = 5,979.89

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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.