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Finding the Fourth Proportional to 31,288.54, 46,932.78 and 12,568.58

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Solution

The fourth proportional to 31,288.54, 46,932.78 and 12,568.58 is: 18,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.54 : 46,932.78 = 12,568.58 : x
  2. Step 2: Convert to fraction form
    31,288.54/46,932.78 = 12,568.58/x
  3. Step 3: Cross multiply
    31,288.54x = 46,932.78 × 12,568.58
  4. Step 4: Simplify right side
    31,288.54x = 589,878,400.05
  5. Step 5: Solve for x
    x = 589,878,400.05/31,288.54
  6. Step 6: Final answer
    x = 18,852.86

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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.