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Finding the Fourth Proportional to 13,573.84, 18,731.64 and 8,849.20

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Solution

The fourth proportional to 13,573.84, 18,731.64 and 8,849.20 is: 12,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.84 : 18,731.64 = 8,849.20 : x
  2. Step 2: Convert to fraction form
    13,573.84/18,731.64 = 8,849.20/x
  3. Step 3: Cross multiply
    13,573.84x = 18,731.64 × 8,849.20
  4. Step 4: Simplify right side
    13,573.84x = 165,760,028.69
  5. Step 5: Solve for x
    x = 165,760,028.69/13,573.84
  6. Step 6: Final answer
    x = 12,211.73

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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.