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Finding the Fourth Proportional to 30,922, 46,321.56 and 15,291.92

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Solution

The fourth proportional to 30,922, 46,321.56 and 15,291.92 is: 22,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922 : 46,321.56 = 15,291.92 : x
  2. Step 2: Convert to fraction form
    30,922/46,321.56 = 15,291.92/x
  3. Step 3: Cross multiply
    30,922x = 46,321.56 × 15,291.92
  4. Step 4: Simplify right side
    30,922x = 708,345,589.80
  5. Step 5: Solve for x
    x = 708,345,589.80/30,922
  6. Step 6: Final answer
    x = 22,907.50

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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.