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Finding the Fourth Proportional to 2,855.55, 4,282.56 and 1,099.92

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Solution

The fourth proportional to 2,855.55, 4,282.56 and 1,099.92 is: 1,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.55 : 4,282.56 = 1,099.92 : x
  2. Step 2: Convert to fraction form
    2,855.55/4,282.56 = 1,099.92/x
  3. Step 3: Cross multiply
    2,855.55x = 4,282.56 × 1,099.92
  4. Step 4: Simplify right side
    2,855.55x = 4,710,473.40
  5. Step 5: Solve for x
    x = 4,710,473.40/2,855.55
  6. Step 6: Final answer
    x = 1,649.59

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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.