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Finding the Fourth Proportional to 5,671.96, 7,826.46 and 3,187.48

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Solution

The fourth proportional to 5,671.96, 7,826.46 and 3,187.48 is: 4,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.96 : 7,826.46 = 3,187.48 : x
  2. Step 2: Convert to fraction form
    5,671.96/7,826.46 = 3,187.48/x
  3. Step 3: Cross multiply
    5,671.96x = 7,826.46 × 3,187.48
  4. Step 4: Simplify right side
    5,671.96x = 24,946,684.72
  5. Step 5: Solve for x
    x = 24,946,684.72/5,671.96
  6. Step 6: Final answer
    x = 4,398.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.