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Finding the Fourth Proportional to 5,667.92, 7,821 and 3,309.68

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Solution

The fourth proportional to 5,667.92, 7,821 and 3,309.68 is: 4,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.92 : 7,821 = 3,309.68 : x
  2. Step 2: Convert to fraction form
    5,667.92/7,821 = 3,309.68/x
  3. Step 3: Cross multiply
    5,667.92x = 7,821 × 3,309.68
  4. Step 4: Simplify right side
    5,667.92x = 25,885,007.28
  5. Step 5: Solve for x
    x = 25,885,007.28/5,667.92
  6. Step 6: Final answer
    x = 4,566.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.