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Finding the Fourth Proportional to 6,872.58, 9,483.35 and 3,847.86

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Solution

The fourth proportional to 6,872.58, 9,483.35 and 3,847.86 is: 5,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.58 : 9,483.35 = 3,847.86 : x
  2. Step 2: Convert to fraction form
    6,872.58/9,483.35 = 3,847.86/x
  3. Step 3: Cross multiply
    6,872.58x = 9,483.35 × 3,847.86
  4. Step 4: Simplify right side
    6,872.58x = 36,490,603.13
  5. Step 5: Solve for x
    x = 36,490,603.13/6,872.58
  6. Step 6: Final answer
    x = 5,309.59

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