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Finding the Fourth Proportional to 13,763.24, 18,987.18 and 8,171

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Solution

The fourth proportional to 13,763.24, 18,987.18 and 8,171 is: 11,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.24 : 18,987.18 = 8,171 : x
  2. Step 2: Convert to fraction form
    13,763.24/18,987.18 = 8,171/x
  3. Step 3: Cross multiply
    13,763.24x = 18,987.18 × 8,171
  4. Step 4: Simplify right side
    13,763.24x = 155,144,247.78
  5. Step 5: Solve for x
    x = 155,144,247.78/13,763.24
  6. Step 6: Final answer
    x = 11,272.36

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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.