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Finding the Fourth Proportional to 13,729.50, 20,582.03 and 4,962.47

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Solution

The fourth proportional to 13,729.50, 20,582.03 and 4,962.47 is: 7,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.50 : 20,582.03 = 4,962.47 : x
  2. Step 2: Convert to fraction form
    13,729.50/20,582.03 = 4,962.47/x
  3. Step 3: Cross multiply
    13,729.50x = 20,582.03 × 4,962.47
  4. Step 4: Simplify right side
    13,729.50x = 102,137,615.91
  5. Step 5: Solve for x
    x = 102,137,615.91/13,729.50
  6. Step 6: Final answer
    x = 7,439.28

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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.