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Finding the Fourth Proportional to 13,493.42, 18,620.87 and 7,524.93

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Solution

The fourth proportional to 13,493.42, 18,620.87 and 7,524.93 is: 10,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.42 : 18,620.87 = 7,524.93 : x
  2. Step 2: Convert to fraction form
    13,493.42/18,620.87 = 7,524.93/x
  3. Step 3: Cross multiply
    13,493.42x = 18,620.87 × 7,524.93
  4. Step 4: Simplify right side
    13,493.42x = 140,120,705.66
  5. Step 5: Solve for x
    x = 140,120,705.66/13,493.42
  6. Step 6: Final answer
    x = 10,384.38

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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.