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Finding the Fourth Proportional to 13,840, 20,759.79 and 6,440.32

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Solution

The fourth proportional to 13,840, 20,759.79 and 6,440.32 is: 9,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840 : 20,759.79 = 6,440.32 : x
  2. Step 2: Convert to fraction form
    13,840/20,759.79 = 6,440.32/x
  3. Step 3: Cross multiply
    13,840x = 20,759.79 × 6,440.32
  4. Step 4: Simplify right side
    13,840x = 133,699,690.73
  5. Step 5: Solve for x
    x = 133,699,690.73/13,840
  6. Step 6: Final answer
    x = 9,660.38

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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.