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Finding the Fourth Proportional to 4,830, 7,239.54 and 2,227.56

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Solution

The fourth proportional to 4,830, 7,239.54 and 2,227.56 is: 3,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830 : 7,239.54 = 2,227.56 : x
  2. Step 2: Convert to fraction form
    4,830/7,239.54 = 2,227.56/x
  3. Step 3: Cross multiply
    4,830x = 7,239.54 × 2,227.56
  4. Step 4: Simplify right side
    4,830x = 16,126,509.72
  5. Step 5: Solve for x
    x = 16,126,509.72/4,830
  6. Step 6: Final answer
    x = 3,338.82

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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.