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Finding the Fourth Proportional to 3,965.59, 5,957.50 and 2,798.28

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Solution

The fourth proportional to 3,965.59, 5,957.50 and 2,798.28 is: 4,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.59 : 5,957.50 = 2,798.28 : x
  2. Step 2: Convert to fraction form
    3,965.59/5,957.50 = 2,798.28/x
  3. Step 3: Cross multiply
    3,965.59x = 5,957.50 × 2,798.28
  4. Step 4: Simplify right side
    3,965.59x = 16,670,753.10
  5. Step 5: Solve for x
    x = 16,670,753.10/3,965.59
  6. Step 6: Final answer
    x = 4,203.85

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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.