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Finding the Fourth Proportional to 7,978.35, 11,966.60 and 2,135.42

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Solution

The fourth proportional to 7,978.35, 11,966.60 and 2,135.42 is: 3,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.35 : 11,966.60 = 2,135.42 : x
  2. Step 2: Convert to fraction form
    7,978.35/11,966.60 = 2,135.42/x
  3. Step 3: Cross multiply
    7,978.35x = 11,966.60 × 2,135.42
  4. Step 4: Simplify right side
    7,978.35x = 25,553,646.46
  5. Step 5: Solve for x
    x = 25,553,646.46/7,978.35
  6. Step 6: Final answer
    x = 3,202.87

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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.