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Finding the Fourth Proportional to 3,855.84, 5,783.52 and 2,558.08

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Solution

The fourth proportional to 3,855.84, 5,783.52 and 2,558.08 is: 3,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.84 : 5,783.52 = 2,558.08 : x
  2. Step 2: Convert to fraction form
    3,855.84/5,783.52 = 2,558.08/x
  3. Step 3: Cross multiply
    3,855.84x = 5,783.52 × 2,558.08
  4. Step 4: Simplify right side
    3,855.84x = 14,794,706.84
  5. Step 5: Solve for x
    x = 14,794,706.84/3,855.84
  6. Step 6: Final answer
    x = 3,836.96

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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.