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Finding the Fourth Proportional to 4,872.80, 7,300.80 and 2,270.40

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Solution

The fourth proportional to 4,872.80, 7,300.80 and 2,270.40 is: 3,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.80 : 7,300.80 = 2,270.40 : x
  2. Step 2: Convert to fraction form
    4,872.80/7,300.80 = 2,270.40/x
  3. Step 3: Cross multiply
    4,872.80x = 7,300.80 × 2,270.40
  4. Step 4: Simplify right side
    4,872.80x = 16,575,736.32
  5. Step 5: Solve for x
    x = 16,575,736.32/4,872.80
  6. Step 6: Final answer
    x = 3,401.69

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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.