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Finding the Fourth Proportional to 16,855.76, 25,289.40 and 8,642

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Solution

The fourth proportional to 16,855.76, 25,289.40 and 8,642 is: 12,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.76 : 25,289.40 = 8,642 : x
  2. Step 2: Convert to fraction form
    16,855.76/25,289.40 = 8,642/x
  3. Step 3: Cross multiply
    16,855.76x = 25,289.40 × 8,642
  4. Step 4: Simplify right side
    16,855.76x = 218,550,994.80
  5. Step 5: Solve for x
    x = 218,550,994.80/16,855.76
  6. Step 6: Final answer
    x = 12,965.95

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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.