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Finding the Fourth Proportional to 5,139.99, 7,709.46 and 3,053.38

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Solution

The fourth proportional to 5,139.99, 7,709.46 and 3,053.38 is: 4,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.99 : 7,709.46 = 3,053.38 : x
  2. Step 2: Convert to fraction form
    5,139.99/7,709.46 = 3,053.38/x
  3. Step 3: Cross multiply
    5,139.99x = 7,709.46 × 3,053.38
  4. Step 4: Simplify right side
    5,139.99x = 23,539,910.97
  5. Step 5: Solve for x
    x = 23,539,910.97/5,139.99
  6. Step 6: Final answer
    x = 4,579.76

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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.