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Finding the Fourth Proportional to 27,028, 40,542 and 8,560

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Solution

The fourth proportional to 27,028, 40,542 and 8,560 is: 12,840

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,028 : 40,542 = 8,560 : x
  2. Step 2: Convert to fraction form
    27,028/40,542 = 8,560/x
  3. Step 3: Cross multiply
    27,028x = 40,542 × 8,560
  4. Step 4: Simplify right side
    27,028x = 347,039,520
  5. Step 5: Solve for x
    x = 347,039,520/27,028
  6. Step 6: Final answer
    x = 12,840

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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.