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Finding the Fourth Proportional to 5,686.58, 7,847 and 3,168.50

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Solution

The fourth proportional to 5,686.58, 7,847 and 3,168.50 is: 4,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.58 : 7,847 = 3,168.50 : x
  2. Step 2: Convert to fraction form
    5,686.58/7,847 = 3,168.50/x
  3. Step 3: Cross multiply
    5,686.58x = 7,847 × 3,168.50
  4. Step 4: Simplify right side
    5,686.58x = 24,863,219.50
  5. Step 5: Solve for x
    x = 24,863,219.50/5,686.58
  6. Step 6: Final answer
    x = 4,372.26

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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.