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Finding the Fourth Proportional to 4,679.85, 7,019.74 and 1,905.87

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Solution

The fourth proportional to 4,679.85, 7,019.74 and 1,905.87 is: 2,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.85 : 7,019.74 = 1,905.87 : x
  2. Step 2: Convert to fraction form
    4,679.85/7,019.74 = 1,905.87/x
  3. Step 3: Cross multiply
    4,679.85x = 7,019.74 × 1,905.87
  4. Step 4: Simplify right side
    4,679.85x = 13,378,711.87
  5. Step 5: Solve for x
    x = 13,378,711.87/4,679.85
  6. Step 6: Final answer
    x = 2,858.79

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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.