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Finding the Fourth Proportional to 3,208.62, 4,812.48 and 868.80

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Solution

The fourth proportional to 3,208.62, 4,812.48 and 868.80 is: 1,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.62 : 4,812.48 = 868.80 : x
  2. Step 2: Convert to fraction form
    3,208.62/4,812.48 = 868.80/x
  3. Step 3: Cross multiply
    3,208.62x = 4,812.48 × 868.80
  4. Step 4: Simplify right side
    3,208.62x = 4,181,082.62
  5. Step 5: Solve for x
    x = 4,181,082.62/3,208.62
  6. Step 6: Final answer
    x = 1,303.08

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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.