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Finding the Fourth Proportional to 13,512.90, 18,653.49 and 8,209.41

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Solution

The fourth proportional to 13,512.90, 18,653.49 and 8,209.41 is: 11,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.90 : 18,653.49 = 8,209.41 : x
  2. Step 2: Convert to fraction form
    13,512.90/18,653.49 = 8,209.41/x
  3. Step 3: Cross multiply
    13,512.90x = 18,653.49 × 8,209.41
  4. Step 4: Simplify right side
    13,512.90x = 153,134,147.34
  5. Step 5: Solve for x
    x = 153,134,147.34/13,512.90
  6. Step 6: Final answer
    x = 11,332.44

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1.5x scale

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.