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Finding the Fourth Proportional to 39,477, 59,202.66 and 13,174.68

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Solution

The fourth proportional to 39,477, 59,202.66 and 13,174.68 is: 19,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,477 : 59,202.66 = 13,174.68 : x
  2. Step 2: Convert to fraction form
    39,477/59,202.66 = 13,174.68/x
  3. Step 3: Cross multiply
    39,477x = 59,202.66 × 13,174.68
  4. Step 4: Simplify right side
    39,477x = 779,976,100.65
  5. Step 5: Solve for x
    x = 779,976,100.65/39,477
  6. Step 6: Final answer
    x = 19,757.73

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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.