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Finding the Fourth Proportional to 27,042, 40,563 and 8,574

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Solution

The fourth proportional to 27,042, 40,563 and 8,574 is: 12,861

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042 : 40,563 = 8,574 : x
  2. Step 2: Convert to fraction form
    27,042/40,563 = 8,574/x
  3. Step 3: Cross multiply
    27,042x = 40,563 × 8,574
  4. Step 4: Simplify right side
    27,042x = 347,787,162
  5. Step 5: Solve for x
    x = 347,787,162/27,042
  6. Step 6: Final answer
    x = 12,861

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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.