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Finding the Fourth Proportional to 31,129.50, 46,694.22 and 11,409.65

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Solution

The fourth proportional to 31,129.50, 46,694.22 and 11,409.65 is: 17,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.50 : 46,694.22 = 11,409.65 : x
  2. Step 2: Convert to fraction form
    31,129.50/46,694.22 = 11,409.65/x
  3. Step 3: Cross multiply
    31,129.50x = 46,694.22 × 11,409.65
  4. Step 4: Simplify right side
    31,129.50x = 532,764,707.22
  5. Step 5: Solve for x
    x = 532,764,707.22/31,129.50
  6. Step 6: Final answer
    x = 17,114.46

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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.