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Finding the Fourth Proportional to 13,147, 19,720.64 and 3,913

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Solution

The fourth proportional to 13,147, 19,720.64 and 3,913 is: 5,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147 : 19,720.64 = 3,913 : x
  2. Step 2: Convert to fraction form
    13,147/19,720.64 = 3,913/x
  3. Step 3: Cross multiply
    13,147x = 19,720.64 × 3,913
  4. Step 4: Simplify right side
    13,147x = 77,166,864.32
  5. Step 5: Solve for x
    x = 77,166,864.32/13,147
  6. Step 6: Final answer
    x = 5,869.54

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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.