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Finding the Fourth Proportional to 1,827.75, 2,742.07 and 529.19

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Solution

The fourth proportional to 1,827.75, 2,742.07 and 529.19 is: 793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.75 : 2,742.07 = 529.19 : x
  2. Step 2: Convert to fraction form
    1,827.75/2,742.07 = 529.19/x
  3. Step 3: Cross multiply
    1,827.75x = 2,742.07 × 529.19
  4. Step 4: Simplify right side
    1,827.75x = 1,451,076.02
  5. Step 5: Solve for x
    x = 1,451,076.02/1,827.75
  6. Step 6: Final answer
    x = 793.91

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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.