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Finding the Fourth Proportional to 5,556.65, 7,669.12 and 3,200.16

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Solution

The fourth proportional to 5,556.65, 7,669.12 and 3,200.16 is: 4,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,556.65 : 7,669.12 = 3,200.16 : x
  2. Step 2: Convert to fraction form
    5,556.65/7,669.12 = 3,200.16/x
  3. Step 3: Cross multiply
    5,556.65x = 7,669.12 × 3,200.16
  4. Step 4: Simplify right side
    5,556.65x = 24,542,380.71
  5. Step 5: Solve for x
    x = 24,542,380.71/5,556.65
  6. Step 6: Final answer
    x = 4,416.76

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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.