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Finding the Fourth Proportional to 31,149.92, 46,725.24 and 7,776.56

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Solution

The fourth proportional to 31,149.92, 46,725.24 and 7,776.56 is: 11,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.92 : 46,725.24 = 7,776.56 : x
  2. Step 2: Convert to fraction form
    31,149.92/46,725.24 = 7,776.56/x
  3. Step 3: Cross multiply
    31,149.92x = 46,725.24 × 7,776.56
  4. Step 4: Simplify right side
    31,149.92x = 363,361,632.37
  5. Step 5: Solve for x
    x = 363,361,632.37/31,149.92
  6. Step 6: Final answer
    x = 11,664.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.