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Finding the Fourth Proportional to 13,627, 20,321.24 and 13,502.44

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Solution

The fourth proportional to 13,627, 20,321.24 and 13,502.44 is: 20,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627 : 20,321.24 = 13,502.44 : x
  2. Step 2: Convert to fraction form
    13,627/20,321.24 = 13,502.44/x
  3. Step 3: Cross multiply
    13,627x = 20,321.24 × 13,502.44
  4. Step 4: Simplify right side
    13,627x = 274,386,323.83
  5. Step 5: Solve for x
    x = 274,386,323.83/13,627
  6. Step 6: Final answer
    x = 20,135.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.