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Finding the Fourth Proportional to 13,551, 20,326.44 and 4,783.80

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Solution

The fourth proportional to 13,551, 20,326.44 and 4,783.80 is: 7,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,551 : 20,326.44 = 4,783.80 : x
  2. Step 2: Convert to fraction form
    13,551/20,326.44 = 4,783.80/x
  3. Step 3: Cross multiply
    13,551x = 20,326.44 × 4,783.80
  4. Step 4: Simplify right side
    13,551x = 97,237,623.67
  5. Step 5: Solve for x
    x = 97,237,623.67/13,551
  6. Step 6: Final answer
    x = 7,175.68

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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.