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Finding the Fourth Proportional to 30,939, 46,416.42 and 10,162.68

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Solution

The fourth proportional to 30,939, 46,416.42 and 10,162.68 is: 15,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,939 : 46,416.42 = 10,162.68 : x
  2. Step 2: Convert to fraction form
    30,939/46,416.42 = 10,162.68/x
  3. Step 3: Cross multiply
    30,939x = 46,416.42 × 10,162.68
  4. Step 4: Simplify right side
    30,939x = 471,715,223.21
  5. Step 5: Solve for x
    x = 471,715,223.21/30,939
  6. Step 6: Final answer
    x = 15,246.62

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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.