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Finding the Fourth Proportional to 2,855.81, 4,281.93 and 1,604.36

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Solution

The fourth proportional to 2,855.81, 4,281.93 and 1,604.36 is: 2,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.81 : 4,281.93 = 1,604.36 : x
  2. Step 2: Convert to fraction form
    2,855.81/4,281.93 = 1,604.36/x
  3. Step 3: Cross multiply
    2,855.81x = 4,281.93 × 1,604.36
  4. Step 4: Simplify right side
    2,855.81x = 6,869,735.81
  5. Step 5: Solve for x
    x = 6,869,735.81/2,855.81
  6. Step 6: Final answer
    x = 2,405.53

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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.