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Finding the Fourth Proportional to 13,770.72, 20,656 and 5,005.60

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Solution

The fourth proportional to 13,770.72, 20,656 and 5,005.60 is: 7,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.72 : 20,656 = 5,005.60 : x
  2. Step 2: Convert to fraction form
    13,770.72/20,656 = 5,005.60/x
  3. Step 3: Cross multiply
    13,770.72x = 20,656 × 5,005.60
  4. Step 4: Simplify right side
    13,770.72x = 103,395,673.60
  5. Step 5: Solve for x
    x = 103,395,673.60/13,770.72
  6. Step 6: Final answer
    x = 7,508.37

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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.