Home / 7,780-11,664.24-4,082.08

Finding the Fourth Proportional to 7,780, 11,664.24 and 4,082.08

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Solution

The fourth proportional to 7,780, 11,664.24 and 4,082.08 is: 6,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780 : 11,664.24 = 4,082.08 : x
  2. Step 2: Convert to fraction form
    7,780/11,664.24 = 4,082.08/x
  3. Step 3: Cross multiply
    7,780x = 11,664.24 × 4,082.08
  4. Step 4: Simplify right side
    7,780x = 47,614,360.82
  5. Step 5: Solve for x
    x = 47,614,360.82/7,780
  6. Step 6: Final answer
    x = 6,120.10

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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.