Home / 7,829.92-11,742.72-2,281.96

Finding the Fourth Proportional to 7,829.92, 11,742.72 and 2,281.96

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Solution

The fourth proportional to 7,829.92, 11,742.72 and 2,281.96 is: 3,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.92 : 11,742.72 = 2,281.96 : x
  2. Step 2: Convert to fraction form
    7,829.92/11,742.72 = 2,281.96/x
  3. Step 3: Cross multiply
    7,829.92x = 11,742.72 × 2,281.96
  4. Step 4: Simplify right side
    7,829.92x = 26,796,417.33
  5. Step 5: Solve for x
    x = 26,796,417.33/7,829.92
  6. Step 6: Final answer
    x = 3,422.31

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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.