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Finding the Fourth Proportional to 7,671.94, 11,451.82 and 7,108.54

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Solution

The fourth proportional to 7,671.94, 11,451.82 and 7,108.54 is: 10,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.94 : 11,451.82 = 7,108.54 : x
  2. Step 2: Convert to fraction form
    7,671.94/11,451.82 = 7,108.54/x
  3. Step 3: Cross multiply
    7,671.94x = 11,451.82 × 7,108.54
  4. Step 4: Simplify right side
    7,671.94x = 81,405,720.54
  5. Step 5: Solve for x
    x = 81,405,720.54/7,671.94
  6. Step 6: Final answer
    x = 10,610.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.