Home / 7,828.78-11,735.27-4,909.14

Finding the Fourth Proportional to 7,828.78, 11,735.27 and 4,909.14

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Solution

The fourth proportional to 7,828.78, 11,735.27 and 4,909.14 is: 7,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.78 : 11,735.27 = 4,909.14 : x
  2. Step 2: Convert to fraction form
    7,828.78/11,735.27 = 4,909.14/x
  3. Step 3: Cross multiply
    7,828.78x = 11,735.27 × 4,909.14
  4. Step 4: Simplify right side
    7,828.78x = 57,610,083.37
  5. Step 5: Solve for x
    x = 57,610,083.37/7,828.78
  6. Step 6: Final answer
    x = 7,358.76

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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.