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Finding the Fourth Proportional to 3,847.68, 5,305.50 and 3,008.52

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Solution

The fourth proportional to 3,847.68, 5,305.50 and 3,008.52 is: 4,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.68 : 5,305.50 = 3,008.52 : x
  2. Step 2: Convert to fraction form
    3,847.68/5,305.50 = 3,008.52/x
  3. Step 3: Cross multiply
    3,847.68x = 5,305.50 × 3,008.52
  4. Step 4: Simplify right side
    3,847.68x = 15,961,702.86
  5. Step 5: Solve for x
    x = 15,961,702.86/3,847.68
  6. Step 6: Final answer
    x = 4,148.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.