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Finding the Fourth Proportional to 3,855.77, 5,779.55 and 2,005.02

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Solution

The fourth proportional to 3,855.77, 5,779.55 and 2,005.02 is: 3,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.77 : 5,779.55 = 2,005.02 : x
  2. Step 2: Convert to fraction form
    3,855.77/5,779.55 = 2,005.02/x
  3. Step 3: Cross multiply
    3,855.77x = 5,779.55 × 2,005.02
  4. Step 4: Simplify right side
    3,855.77x = 11,588,113.34
  5. Step 5: Solve for x
    x = 11,588,113.34/3,855.77
  6. Step 6: Final answer
    x = 3,005.40

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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.