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Finding the Fourth Proportional to 13,840.50, 20,760.94 and 4,606.50

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Solution

The fourth proportional to 13,840.50, 20,760.94 and 4,606.50 is: 6,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.50 : 20,760.94 = 4,606.50 : x
  2. Step 2: Convert to fraction form
    13,840.50/20,760.94 = 4,606.50/x
  3. Step 3: Cross multiply
    13,840.50x = 20,760.94 × 4,606.50
  4. Step 4: Simplify right side
    13,840.50x = 95,635,270.11
  5. Step 5: Solve for x
    x = 95,635,270.11/13,840.50
  6. Step 6: Final answer
    x = 6,909.81

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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.