Home / 7,829.19-11,742.50-2,564.12

Finding the Fourth Proportional to 7,829.19, 11,742.50 and 2,564.12

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Solution

The fourth proportional to 7,829.19, 11,742.50 and 2,564.12 is: 3,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.19 : 11,742.50 = 2,564.12 : x
  2. Step 2: Convert to fraction form
    7,829.19/11,742.50 = 2,564.12/x
  3. Step 3: Cross multiply
    7,829.19x = 11,742.50 × 2,564.12
  4. Step 4: Simplify right side
    7,829.19x = 30,109,214.87
  5. Step 5: Solve for x
    x = 30,109,214.87/7,829.19
  6. Step 6: Final answer
    x = 3,845.76

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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.