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Finding the Fourth Proportional to 13,455, 20,185.74 and 4,221

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Solution

The fourth proportional to 13,455, 20,185.74 and 4,221 is: 6,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455 : 20,185.74 = 4,221 : x
  2. Step 2: Convert to fraction form
    13,455/20,185.74 = 4,221/x
  3. Step 3: Cross multiply
    13,455x = 20,185.74 × 4,221
  4. Step 4: Simplify right side
    13,455x = 85,204,008.54
  5. Step 5: Solve for x
    x = 85,204,008.54/13,455
  6. Step 6: Final answer
    x = 6,332.52

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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.