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Finding the Fourth Proportional to 3,283, 4,924.50 and 3,200.38

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Solution

The fourth proportional to 3,283, 4,924.50 and 3,200.38 is: 4,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283 : 4,924.50 = 3,200.38 : x
  2. Step 2: Convert to fraction form
    3,283/4,924.50 = 3,200.38/x
  3. Step 3: Cross multiply
    3,283x = 4,924.50 × 3,200.38
  4. Step 4: Simplify right side
    3,283x = 15,760,271.31
  5. Step 5: Solve for x
    x = 15,760,271.31/3,283
  6. Step 6: Final answer
    x = 4,800.57

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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.