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Finding the Fourth Proportional to 4,546, 6,814.14 and 1,912.87

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Solution

The fourth proportional to 4,546, 6,814.14 and 1,912.87 is: 2,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546 : 6,814.14 = 1,912.87 : x
  2. Step 2: Convert to fraction form
    4,546/6,814.14 = 1,912.87/x
  3. Step 3: Cross multiply
    4,546x = 6,814.14 × 1,912.87
  4. Step 4: Simplify right side
    4,546x = 13,034,563.98
  5. Step 5: Solve for x
    x = 13,034,563.98/4,546
  6. Step 6: Final answer
    x = 2,867.26

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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.