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Finding the Fourth Proportional to 3,237.84, 4,857 and 1,289.52

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Solution

The fourth proportional to 3,237.84, 4,857 and 1,289.52 is: 1,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.84 : 4,857 = 1,289.52 : x
  2. Step 2: Convert to fraction form
    3,237.84/4,857 = 1,289.52/x
  3. Step 3: Cross multiply
    3,237.84x = 4,857 × 1,289.52
  4. Step 4: Simplify right side
    3,237.84x = 6,263,198.64
  5. Step 5: Solve for x
    x = 6,263,198.64/3,237.84
  6. Step 6: Final answer
    x = 1,934.38

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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.