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Finding the Fourth Proportional to 1,286.21, 1,929.30 and 824.21

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Solution

The fourth proportional to 1,286.21, 1,929.30 and 824.21 is: 1,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.21 : 1,929.30 = 824.21 : x
  2. Step 2: Convert to fraction form
    1,286.21/1,929.30 = 824.21/x
  3. Step 3: Cross multiply
    1,286.21x = 1,929.30 × 824.21
  4. Step 4: Simplify right side
    1,286.21x = 1,590,138.71
  5. Step 5: Solve for x
    x = 1,590,138.71/1,286.21
  6. Step 6: Final answer
    x = 1,236.30

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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.