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Finding the Fourth Proportional to 7,977.15, 11,963.03 and 2,978.49

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Solution

The fourth proportional to 7,977.15, 11,963.03 and 2,978.49 is: 4,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.15 : 11,963.03 = 2,978.49 : x
  2. Step 2: Convert to fraction form
    7,977.15/11,963.03 = 2,978.49/x
  3. Step 3: Cross multiply
    7,977.15x = 11,963.03 × 2,978.49
  4. Step 4: Simplify right side
    7,977.15x = 35,631,727.90
  5. Step 5: Solve for x
    x = 35,631,727.90/7,977.15
  6. Step 6: Final answer
    x = 4,466.72

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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.