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Finding the Fourth Proportional to 7,877.04, 11,816.28 and 3,978.96

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Solution

The fourth proportional to 7,877.04, 11,816.28 and 3,978.96 is: 5,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.04 : 11,816.28 = 3,978.96 : x
  2. Step 2: Convert to fraction form
    7,877.04/11,816.28 = 3,978.96/x
  3. Step 3: Cross multiply
    7,877.04x = 11,816.28 × 3,978.96
  4. Step 4: Simplify right side
    7,877.04x = 47,016,505.47
  5. Step 5: Solve for x
    x = 47,016,505.47/7,877.04
  6. Step 6: Final answer
    x = 5,968.80

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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.