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Finding the Fourth Proportional to 4,314, 6,469.64 and 2,860.86

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Solution

The fourth proportional to 4,314, 6,469.64 and 2,860.86 is: 4,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314 : 6,469.64 = 2,860.86 : x
  2. Step 2: Convert to fraction form
    4,314/6,469.64 = 2,860.86/x
  3. Step 3: Cross multiply
    4,314x = 6,469.64 × 2,860.86
  4. Step 4: Simplify right side
    4,314x = 18,508,734.29
  5. Step 5: Solve for x
    x = 18,508,734.29/4,314
  6. Step 6: Final answer
    x = 4,290.39

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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.