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Finding the Fourth Proportional to 4,812.80, 7,212.80 and 3,570.46

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Solution

The fourth proportional to 4,812.80, 7,212.80 and 3,570.46 is: 5,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.80 : 7,212.80 = 3,570.46 : x
  2. Step 2: Convert to fraction form
    4,812.80/7,212.80 = 3,570.46/x
  3. Step 3: Cross multiply
    4,812.80x = 7,212.80 × 3,570.46
  4. Step 4: Simplify right side
    4,812.80x = 25,753,013.89
  5. Step 5: Solve for x
    x = 25,753,013.89/4,812.80
  6. Step 6: Final answer
    x = 5,350.94

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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.