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Finding the Fourth Proportional to 16,782.20, 25,151.70 and 12,867.20

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Solution

The fourth proportional to 16,782.20, 25,151.70 and 12,867.20 is: 19,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.20 : 25,151.70 = 12,867.20 : x
  2. Step 2: Convert to fraction form
    16,782.20/25,151.70 = 12,867.20/x
  3. Step 3: Cross multiply
    16,782.20x = 25,151.70 × 12,867.20
  4. Step 4: Simplify right side
    16,782.20x = 323,631,954.24
  5. Step 5: Solve for x
    x = 323,631,954.24/16,782.20
  6. Step 6: Final answer
    x = 19,284.24

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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.