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Finding the Fourth Proportional to 13,811.82, 19,060.43 and 7,524.20

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Solution

The fourth proportional to 13,811.82, 19,060.43 and 7,524.20 is: 10,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.82 : 19,060.43 = 7,524.20 : x
  2. Step 2: Convert to fraction form
    13,811.82/19,060.43 = 7,524.20/x
  3. Step 3: Cross multiply
    13,811.82x = 19,060.43 × 7,524.20
  4. Step 4: Simplify right side
    13,811.82x = 143,414,354.48
  5. Step 5: Solve for x
    x = 143,414,354.48/13,811.82
  6. Step 6: Final answer
    x = 10,383.45

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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.