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Finding the Fourth Proportional to 13,362.50, 20,043.75 and 3,502.64

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Solution

The fourth proportional to 13,362.50, 20,043.75 and 3,502.64 is: 5,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362.50 : 20,043.75 = 3,502.64 : x
  2. Step 2: Convert to fraction form
    13,362.50/20,043.75 = 3,502.64/x
  3. Step 3: Cross multiply
    13,362.50x = 20,043.75 × 3,502.64
  4. Step 4: Simplify right side
    13,362.50x = 70,206,103.74
  5. Step 5: Solve for x
    x = 70,206,103.74/13,362.50
  6. Step 6: Final answer
    x = 5,253.96

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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.