Home / 6,509.48-9,767-2,128.28

Finding the Fourth Proportional to 6,509.48, 9,767 and 2,128.28

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Solution

The fourth proportional to 6,509.48, 9,767 and 2,128.28 is: 3,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.48 : 9,767 = 2,128.28 : x
  2. Step 2: Convert to fraction form
    6,509.48/9,767 = 2,128.28/x
  3. Step 3: Cross multiply
    6,509.48x = 9,767 × 2,128.28
  4. Step 4: Simplify right side
    6,509.48x = 20,786,910.76
  5. Step 5: Solve for x
    x = 20,786,910.76/6,509.48
  6. Step 6: Final answer
    x = 3,193.33

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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.