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Finding the Fourth Proportional to 30,727.78, 46,091.70 and 8,541.16

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Solution

The fourth proportional to 30,727.78, 46,091.70 and 8,541.16 is: 12,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,727.78 : 46,091.70 = 8,541.16 : x
  2. Step 2: Convert to fraction form
    30,727.78/46,091.70 = 8,541.16/x
  3. Step 3: Cross multiply
    30,727.78x = 46,091.70 × 8,541.16
  4. Step 4: Simplify right side
    30,727.78x = 393,676,584.37
  5. Step 5: Solve for x
    x = 393,676,584.37/30,727.78
  6. Step 6: Final answer
    x = 12,811.75

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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.