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Finding the Fourth Proportional to 5,114.86, 7,671.13 and 1,993.79

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Solution

The fourth proportional to 5,114.86, 7,671.13 and 1,993.79 is: 2,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.86 : 7,671.13 = 1,993.79 : x
  2. Step 2: Convert to fraction form
    5,114.86/7,671.13 = 1,993.79/x
  3. Step 3: Cross multiply
    5,114.86x = 7,671.13 × 1,993.79
  4. Step 4: Simplify right side
    5,114.86x = 15,294,622.28
  5. Step 5: Solve for x
    x = 15,294,622.28/5,114.86
  6. Step 6: Final answer
    x = 2,990.23

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1.5x scale

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.