Home / 7,828.78-11,750-4,537.34

Finding the Fourth Proportional to 7,828.78, 11,750 and 4,537.34

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Solution

The fourth proportional to 7,828.78, 11,750 and 4,537.34 is: 6,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.78 : 11,750 = 4,537.34 : x
  2. Step 2: Convert to fraction form
    7,828.78/11,750 = 4,537.34/x
  3. Step 3: Cross multiply
    7,828.78x = 11,750 × 4,537.34
  4. Step 4: Simplify right side
    7,828.78x = 53,313,745
  5. Step 5: Solve for x
    x = 53,313,745/7,828.78
  6. Step 6: Final answer
    x = 6,809.97

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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.