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Finding the Fourth Proportional to 8,541.32, 12,809.48 and 3,275.94

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Solution

The fourth proportional to 8,541.32, 12,809.48 and 3,275.94 is: 4,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.32 : 12,809.48 = 3,275.94 : x
  2. Step 2: Convert to fraction form
    8,541.32/12,809.48 = 3,275.94/x
  3. Step 3: Cross multiply
    8,541.32x = 12,809.48 × 3,275.94
  4. Step 4: Simplify right side
    8,541.32x = 41,963,087.91
  5. Step 5: Solve for x
    x = 41,963,087.91/8,541.32
  6. Step 6: Final answer
    x = 4,912.95

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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.