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Finding the Fourth Proportional to 6,806.25, 10,209.15 and 2,420.64

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Solution

The fourth proportional to 6,806.25, 10,209.15 and 2,420.64 is: 3,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.25 : 10,209.15 = 2,420.64 : x
  2. Step 2: Convert to fraction form
    6,806.25/10,209.15 = 2,420.64/x
  3. Step 3: Cross multiply
    6,806.25x = 10,209.15 × 2,420.64
  4. Step 4: Simplify right side
    6,806.25x = 24,712,676.86
  5. Step 5: Solve for x
    x = 24,712,676.86/6,806.25
  6. Step 6: Final answer
    x = 3,630.88

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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.