Home / 7,776.72-11,667-2,582.64

Finding the Fourth Proportional to 7,776.72, 11,667 and 2,582.64

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Solution

The fourth proportional to 7,776.72, 11,667 and 2,582.64 is: 3,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.72 : 11,667 = 2,582.64 : x
  2. Step 2: Convert to fraction form
    7,776.72/11,667 = 2,582.64/x
  3. Step 3: Cross multiply
    7,776.72x = 11,667 × 2,582.64
  4. Step 4: Simplify right side
    7,776.72x = 30,131,660.88
  5. Step 5: Solve for x
    x = 30,131,660.88/7,776.72
  6. Step 6: Final answer
    x = 3,874.60

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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.