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Finding the Fourth Proportional to 18,782.82, 28,159.65 and 10,982.52

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Solution

The fourth proportional to 18,782.82, 28,159.65 and 10,982.52 is: 16,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.82 : 28,159.65 = 10,982.52 : x
  2. Step 2: Convert to fraction form
    18,782.82/28,159.65 = 10,982.52/x
  3. Step 3: Cross multiply
    18,782.82x = 28,159.65 × 10,982.52
  4. Step 4: Simplify right side
    18,782.82x = 309,263,919.32
  5. Step 5: Solve for x
    x = 309,263,919.32/18,782.82
  6. Step 6: Final answer
    x = 16,465.25

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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.