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Finding the Fourth Proportional to 13,830, 19,086.84 and 8,524.68

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Solution

The fourth proportional to 13,830, 19,086.84 and 8,524.68 is: 11,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830 : 19,086.84 = 8,524.68 : x
  2. Step 2: Convert to fraction form
    13,830/19,086.84 = 8,524.68/x
  3. Step 3: Cross multiply
    13,830x = 19,086.84 × 8,524.68
  4. Step 4: Simplify right side
    13,830x = 162,709,203.21
  5. Step 5: Solve for x
    x = 162,709,203.21/13,830
  6. Step 6: Final answer
    x = 11,764.95

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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.