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Finding the Fourth Proportional to 13,478.68, 18,604.74 and 8,175.88

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Solution

The fourth proportional to 13,478.68, 18,604.74 and 8,175.88 is: 11,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.68 : 18,604.74 = 8,175.88 : x
  2. Step 2: Convert to fraction form
    13,478.68/18,604.74 = 8,175.88/x
  3. Step 3: Cross multiply
    13,478.68x = 18,604.74 × 8,175.88
  4. Step 4: Simplify right side
    13,478.68x = 152,110,121.67
  5. Step 5: Solve for x
    x = 152,110,121.67/13,478.68
  6. Step 6: Final answer
    x = 11,285.24

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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.