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Finding the Fourth Proportional to 5,139.66, 7,704.87 and 1,850.45

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Solution

The fourth proportional to 5,139.66, 7,704.87 and 1,850.45 is: 2,774.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.66 : 7,704.87 = 1,850.45 : x
  2. Step 2: Convert to fraction form
    5,139.66/7,704.87 = 1,850.45/x
  3. Step 3: Cross multiply
    5,139.66x = 7,704.87 × 1,850.45
  4. Step 4: Simplify right side
    5,139.66x = 14,257,476.69
  5. Step 5: Solve for x
    x = 14,257,476.69/5,139.66
  6. Step 6: Final answer
    x = 2,774.01

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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.