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Finding the Fourth Proportional to 5,139.45, 7,703.10 and 3,839.40

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Solution

The fourth proportional to 5,139.45, 7,703.10 and 3,839.40 is: 5,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.45 : 7,703.10 = 3,839.40 : x
  2. Step 2: Convert to fraction form
    5,139.45/7,703.10 = 3,839.40/x
  3. Step 3: Cross multiply
    5,139.45x = 7,703.10 × 3,839.40
  4. Step 4: Simplify right side
    5,139.45x = 29,575,282.14
  5. Step 5: Solve for x
    x = 29,575,282.14/5,139.45
  6. Step 6: Final answer
    x = 5,754.56

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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.