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Finding the Fourth Proportional to 5,684, 8,530.86 and 2,223.68

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Solution

The fourth proportional to 5,684, 8,530.86 and 2,223.68 is: 3,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684 : 8,530.86 = 2,223.68 : x
  2. Step 2: Convert to fraction form
    5,684/8,530.86 = 2,223.68/x
  3. Step 3: Cross multiply
    5,684x = 8,530.86 × 2,223.68
  4. Step 4: Simplify right side
    5,684x = 18,969,902.76
  5. Step 5: Solve for x
    x = 18,969,902.76/5,684
  6. Step 6: Final answer
    x = 3,337.42

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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.