Home / 5,114.26-7,671.83-1,416.49

Finding the Fourth Proportional to 5,114.26, 7,671.83 and 1,416.49

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Solution

The fourth proportional to 5,114.26, 7,671.83 and 1,416.49 is: 2,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.26 : 7,671.83 = 1,416.49 : x
  2. Step 2: Convert to fraction form
    5,114.26/7,671.83 = 1,416.49/x
  3. Step 3: Cross multiply
    5,114.26x = 7,671.83 × 1,416.49
  4. Step 4: Simplify right side
    5,114.26x = 10,867,070.48
  5. Step 5: Solve for x
    x = 10,867,070.48/5,114.26
  6. Step 6: Final answer
    x = 2,124.86

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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.