Home / 7,828.48-11,742.47-2,281.91

Finding the Fourth Proportional to 7,828.48, 11,742.47 and 2,281.91

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Solution

The fourth proportional to 7,828.48, 11,742.47 and 2,281.91 is: 3,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.48 : 11,742.47 = 2,281.91 : x
  2. Step 2: Convert to fraction form
    7,828.48/11,742.47 = 2,281.91/x
  3. Step 3: Cross multiply
    7,828.48x = 11,742.47 × 2,281.91
  4. Step 4: Simplify right side
    7,828.48x = 26,795,198.15
  5. Step 5: Solve for x
    x = 26,795,198.15/7,828.48
  6. Step 6: Final answer
    x = 3,422.78

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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.