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Finding the Fourth Proportional to 13,505, 20,267.10 and 5,297

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Solution

The fourth proportional to 13,505, 20,267.10 and 5,297 is: 7,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505 : 20,267.10 = 5,297 : x
  2. Step 2: Convert to fraction form
    13,505/20,267.10 = 5,297/x
  3. Step 3: Cross multiply
    13,505x = 20,267.10 × 5,297
  4. Step 4: Simplify right side
    13,505x = 107,354,828.70
  5. Step 5: Solve for x
    x = 107,354,828.70/13,505
  6. Step 6: Final answer
    x = 7,949.27

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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.