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Finding the Fourth Proportional to 5,202, 7,800.78 and 3,012.24

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Solution

The fourth proportional to 5,202, 7,800.78 and 3,012.24 is: 4,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 7,800.78 = 3,012.24 : x
  2. Step 2: Convert to fraction form
    5,202/7,800.78 = 3,012.24/x
  3. Step 3: Cross multiply
    5,202x = 7,800.78 × 3,012.24
  4. Step 4: Simplify right side
    5,202x = 23,497,821.55
  5. Step 5: Solve for x
    x = 23,497,821.55/5,202
  6. Step 6: Final answer
    x = 4,517.07

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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.