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Finding the Fourth Proportional to 5,114.71, 7,674.05 and 1,995

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Solution

The fourth proportional to 5,114.71, 7,674.05 and 1,995 is: 2,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.71 : 7,674.05 = 1,995 : x
  2. Step 2: Convert to fraction form
    5,114.71/7,674.05 = 1,995/x
  3. Step 3: Cross multiply
    5,114.71x = 7,674.05 × 1,995
  4. Step 4: Simplify right side
    5,114.71x = 15,309,729.75
  5. Step 5: Solve for x
    x = 15,309,729.75/5,114.71
  6. Step 6: Final answer
    x = 2,993.27

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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.