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Finding the Fourth Proportional to 27,042.50, 40,563.76 and 8,574.50

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Solution

The fourth proportional to 27,042.50, 40,563.76 and 8,574.50 is: 12,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042.50 : 40,563.76 = 8,574.50 : x
  2. Step 2: Convert to fraction form
    27,042.50/40,563.76 = 8,574.50/x
  3. Step 3: Cross multiply
    27,042.50x = 40,563.76 × 8,574.50
  4. Step 4: Simplify right side
    27,042.50x = 347,813,960.12
  5. Step 5: Solve for x
    x = 347,813,960.12/27,042.50
  6. Step 6: Final answer
    x = 12,861.75

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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.