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Finding the Fourth Proportional to 13,842, 20,762.91 and 3,453.75

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Solution

The fourth proportional to 13,842, 20,762.91 and 3,453.75 is: 5,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842 : 20,762.91 = 3,453.75 : x
  2. Step 2: Convert to fraction form
    13,842/20,762.91 = 3,453.75/x
  3. Step 3: Cross multiply
    13,842x = 20,762.91 × 3,453.75
  4. Step 4: Simplify right side
    13,842x = 71,709,900.41
  5. Step 5: Solve for x
    x = 71,709,900.41/13,842
  6. Step 6: Final answer
    x = 5,180.60

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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.