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Finding the Fourth Proportional to 4,573.69, 6,855 and 2,105.11

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Solution

The fourth proportional to 4,573.69, 6,855 and 2,105.11 is: 3,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.69 : 6,855 = 2,105.11 : x
  2. Step 2: Convert to fraction form
    4,573.69/6,855 = 2,105.11/x
  3. Step 3: Cross multiply
    4,573.69x = 6,855 × 2,105.11
  4. Step 4: Simplify right side
    4,573.69x = 14,430,529.05
  5. Step 5: Solve for x
    x = 14,430,529.05/4,573.69
  6. Step 6: Final answer
    x = 3,155.12

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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.