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Finding the Fourth Proportional to 5,847, 8,068.86 and 3,860.88

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Solution

The fourth proportional to 5,847, 8,068.86 and 3,860.88 is: 5,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847 : 8,068.86 = 3,860.88 : x
  2. Step 2: Convert to fraction form
    5,847/8,068.86 = 3,860.88/x
  3. Step 3: Cross multiply
    5,847x = 8,068.86 × 3,860.88
  4. Step 4: Simplify right side
    5,847x = 31,152,900.20
  5. Step 5: Solve for x
    x = 31,152,900.20/5,847
  6. Step 6: Final answer
    x = 5,328.01

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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.