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Finding the Fourth Proportional to 5,688.50, 7,847.96 and 4,199.99

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Solution

The fourth proportional to 5,688.50, 7,847.96 and 4,199.99 is: 5,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.50 : 7,847.96 = 4,199.99 : x
  2. Step 2: Convert to fraction form
    5,688.50/7,847.96 = 4,199.99/x
  3. Step 3: Cross multiply
    5,688.50x = 7,847.96 × 4,199.99
  4. Step 4: Simplify right side
    5,688.50x = 32,961,293.28
  5. Step 5: Solve for x
    x = 32,961,293.28/5,688.50
  6. Step 6: Final answer
    x = 5,794.38

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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.