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Finding the Fourth Proportional to 5,685.96, 8,518 and 4,220.68

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Solution

The fourth proportional to 5,685.96, 8,518 and 4,220.68 is: 6,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.96 : 8,518 = 4,220.68 : x
  2. Step 2: Convert to fraction form
    5,685.96/8,518 = 4,220.68/x
  3. Step 3: Cross multiply
    5,685.96x = 8,518 × 4,220.68
  4. Step 4: Simplify right side
    5,685.96x = 35,951,752.24
  5. Step 5: Solve for x
    x = 35,951,752.24/5,685.96
  6. Step 6: Final answer
    x = 6,322.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.