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Finding the Fourth Proportional to 13,461.44, 18,578.12 and 8,159.99

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Solution

The fourth proportional to 13,461.44, 18,578.12 and 8,159.99 is: 11,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.44 : 18,578.12 = 8,159.99 : x
  2. Step 2: Convert to fraction form
    13,461.44/18,578.12 = 8,159.99/x
  3. Step 3: Cross multiply
    13,461.44x = 18,578.12 × 8,159.99
  4. Step 4: Simplify right side
    13,461.44x = 151,597,139.73
  5. Step 5: Solve for x
    x = 151,597,139.73/13,461.44
  6. Step 6: Final answer
    x = 11,261.59

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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.