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Finding the Fourth Proportional to 3,043.75, 4,200.49 and 1,784.63

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Solution

The fourth proportional to 3,043.75, 4,200.49 and 1,784.63 is: 2,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.75 : 4,200.49 = 1,784.63 : x
  2. Step 2: Convert to fraction form
    3,043.75/4,200.49 = 1,784.63/x
  3. Step 3: Cross multiply
    3,043.75x = 4,200.49 × 1,784.63
  4. Step 4: Simplify right side
    3,043.75x = 7,496,299.47
  5. Step 5: Solve for x
    x = 7,496,299.47/3,043.75
  6. Step 6: Final answer
    x = 2,462.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.