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Finding the Fourth Proportional to 13,649.88, 18,832.13 and 8,274.05

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Solution

The fourth proportional to 13,649.88, 18,832.13 and 8,274.05 is: 11,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.88 : 18,832.13 = 8,274.05 : x
  2. Step 2: Convert to fraction form
    13,649.88/18,832.13 = 8,274.05/x
  3. Step 3: Cross multiply
    13,649.88x = 18,832.13 × 8,274.05
  4. Step 4: Simplify right side
    13,649.88x = 155,817,849.70
  5. Step 5: Solve for x
    x = 155,817,849.70/13,649.88
  6. Step 6: Final answer
    x = 11,415.33

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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.