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Finding the Fourth Proportional to 1,827.82, 2,742.09 and 529.21

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Solution

The fourth proportional to 1,827.82, 2,742.09 and 529.21 is: 793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.82 : 2,742.09 = 529.21 : x
  2. Step 2: Convert to fraction form
    1,827.82/2,742.09 = 529.21/x
  3. Step 3: Cross multiply
    1,827.82x = 2,742.09 × 529.21
  4. Step 4: Simplify right side
    1,827.82x = 1,451,141.45
  5. Step 5: Solve for x
    x = 1,451,141.45/1,827.82
  6. Step 6: Final answer
    x = 793.92

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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.