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Finding the Fourth Proportional to 16,853.76, 25,286.40 and 8,640

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Solution

The fourth proportional to 16,853.76, 25,286.40 and 8,640 is: 12,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.76 : 25,286.40 = 8,640 : x
  2. Step 2: Convert to fraction form
    16,853.76/25,286.40 = 8,640/x
  3. Step 3: Cross multiply
    16,853.76x = 25,286.40 × 8,640
  4. Step 4: Simplify right side
    16,853.76x = 218,474,496
  5. Step 5: Solve for x
    x = 218,474,496/16,853.76
  6. Step 6: Final answer
    x = 12,962.95

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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.