Home / 7,830.76-11,743.68-2,564.56

Finding the Fourth Proportional to 7,830.76, 11,743.68 and 2,564.56

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Solution

The fourth proportional to 7,830.76, 11,743.68 and 2,564.56 is: 3,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.76 : 11,743.68 = 2,564.56 : x
  2. Step 2: Convert to fraction form
    7,830.76/11,743.68 = 2,564.56/x
  3. Step 3: Cross multiply
    7,830.76x = 11,743.68 × 2,564.56
  4. Step 4: Simplify right side
    7,830.76x = 30,117,371.98
  5. Step 5: Solve for x
    x = 30,117,371.98/7,830.76
  6. Step 6: Final answer
    x = 3,846.03

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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.