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Finding the Fourth Proportional to 6,802.80, 10,204.20 and 2,420.70

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Solution

The fourth proportional to 6,802.80, 10,204.20 and 2,420.70 is: 3,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.80 : 10,204.20 = 2,420.70 : x
  2. Step 2: Convert to fraction form
    6,802.80/10,204.20 = 2,420.70/x
  3. Step 3: Cross multiply
    6,802.80x = 10,204.20 × 2,420.70
  4. Step 4: Simplify right side
    6,802.80x = 24,701,306.94
  5. Step 5: Solve for x
    x = 24,701,306.94/6,802.80
  6. Step 6: Final answer
    x = 3,631.05

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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.