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Finding the Fourth Proportional to 4,747.70, 7,133.70 and 4,213.10

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Solution

The fourth proportional to 4,747.70, 7,133.70 and 4,213.10 is: 6,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.70 : 7,133.70 = 4,213.10 : x
  2. Step 2: Convert to fraction form
    4,747.70/7,133.70 = 4,213.10/x
  3. Step 3: Cross multiply
    4,747.70x = 7,133.70 × 4,213.10
  4. Step 4: Simplify right side
    4,747.70x = 30,054,991.47
  5. Step 5: Solve for x
    x = 30,054,991.47/4,747.70
  6. Step 6: Final answer
    x = 6,330.43

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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.