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Finding the Fourth Proportional to 7,978.02, 11,972.50 and 2,783.90

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Solution

The fourth proportional to 7,978.02, 11,972.50 and 2,783.90 is: 4,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.02 : 11,972.50 = 2,783.90 : x
  2. Step 2: Convert to fraction form
    7,978.02/11,972.50 = 2,783.90/x
  3. Step 3: Cross multiply
    7,978.02x = 11,972.50 × 2,783.90
  4. Step 4: Simplify right side
    7,978.02x = 33,330,242.75
  5. Step 5: Solve for x
    x = 33,330,242.75/7,978.02
  6. Step 6: Final answer
    x = 4,177.76

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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.