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Finding the Fourth Proportional to 3,847.63, 5,764.80 and 3,005.02

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Solution

The fourth proportional to 3,847.63, 5,764.80 and 3,005.02 is: 4,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.63 : 5,764.80 = 3,005.02 : x
  2. Step 2: Convert to fraction form
    3,847.63/5,764.80 = 3,005.02/x
  3. Step 3: Cross multiply
    3,847.63x = 5,764.80 × 3,005.02
  4. Step 4: Simplify right side
    3,847.63x = 17,323,339.30
  5. Step 5: Solve for x
    x = 17,323,339.30/3,847.63
  6. Step 6: Final answer
    x = 4,502.35

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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.