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Finding the Fourth Proportional to 4,902.65, 7,353.64 and 2,821.12

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Solution

The fourth proportional to 4,902.65, 7,353.64 and 2,821.12 is: 4,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.65 : 7,353.64 = 2,821.12 : x
  2. Step 2: Convert to fraction form
    4,902.65/7,353.64 = 2,821.12/x
  3. Step 3: Cross multiply
    4,902.65x = 7,353.64 × 2,821.12
  4. Step 4: Simplify right side
    4,902.65x = 20,745,500.88
  5. Step 5: Solve for x
    x = 20,745,500.88/4,902.65
  6. Step 6: Final answer
    x = 4,231.49

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1.5x scale

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.