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Finding the Fourth Proportional to 16,995.76, 25,499.40 and 8,782

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Solution

The fourth proportional to 16,995.76, 25,499.40 and 8,782 is: 13,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,995.76 : 25,499.40 = 8,782 : x
  2. Step 2: Convert to fraction form
    16,995.76/25,499.40 = 8,782/x
  3. Step 3: Cross multiply
    16,995.76x = 25,499.40 × 8,782
  4. Step 4: Simplify right side
    16,995.76x = 223,935,730.80
  5. Step 5: Solve for x
    x = 223,935,730.80/16,995.76
  6. Step 6: Final answer
    x = 13,175.98

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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.