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Finding the Fourth Proportional to 3,709.60, 5,123.64 and 2,824

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Solution

The fourth proportional to 3,709.60, 5,123.64 and 2,824 is: 3,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.60 : 5,123.64 = 2,824 : x
  2. Step 2: Convert to fraction form
    3,709.60/5,123.64 = 2,824/x
  3. Step 3: Cross multiply
    3,709.60x = 5,123.64 × 2,824
  4. Step 4: Simplify right side
    3,709.60x = 14,469,159.36
  5. Step 5: Solve for x
    x = 14,469,159.36/3,709.60
  6. Step 6: Final answer
    x = 3,900.46

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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.