Home / 7,972.80-11,962.72-2,782.40

Finding the Fourth Proportional to 7,972.80, 11,962.72 and 2,782.40

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Solution

The fourth proportional to 7,972.80, 11,962.72 and 2,782.40 is: 4,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.80 : 11,962.72 = 2,782.40 : x
  2. Step 2: Convert to fraction form
    7,972.80/11,962.72 = 2,782.40/x
  3. Step 3: Cross multiply
    7,972.80x = 11,962.72 × 2,782.40
  4. Step 4: Simplify right side
    7,972.80x = 33,285,072.13
  5. Step 5: Solve for x
    x = 33,285,072.13/7,972.80
  6. Step 6: Final answer
    x = 4,174.83

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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.