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Finding the Fourth Proportional to 1,819.84, 2,729.92 and 587.28

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Solution

The fourth proportional to 1,819.84, 2,729.92 and 587.28 is: 880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.84 : 2,729.92 = 587.28 : x
  2. Step 2: Convert to fraction form
    1,819.84/2,729.92 = 587.28/x
  3. Step 3: Cross multiply
    1,819.84x = 2,729.92 × 587.28
  4. Step 4: Simplify right side
    1,819.84x = 1,603,227.42
  5. Step 5: Solve for x
    x = 1,603,227.42/1,819.84
  6. Step 6: Final answer
    x = 880.97

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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.