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Finding the Fourth Proportional to 18,830.43, 28,223.73 and 13,854

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Solution

The fourth proportional to 18,830.43, 28,223.73 and 13,854 is: 20,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830.43 : 28,223.73 = 13,854 : x
  2. Step 2: Convert to fraction form
    18,830.43/28,223.73 = 13,854/x
  3. Step 3: Cross multiply
    18,830.43x = 28,223.73 × 13,854
  4. Step 4: Simplify right side
    18,830.43x = 391,011,555.42
  5. Step 5: Solve for x
    x = 391,011,555.42/18,830.43
  6. Step 6: Final answer
    x = 20,764.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.